We apply the fast Padé transform (FPT) to time signals as encoded via magnetic resonance spectroscopy (MRS) in breast fibroadenoma. Realistic levels of noise are considered. The conventional fast Fourier transform (FFT) is also used for comparison with the FPT. For N = 2048 signal points, the FFT generated uninformative total shape spectra with only a few distorted peaks, whereas the FPT yielded converged envelope spectra at partial signal length N P = 1700. To match the FPT based at time signals sampled at N = 2048, the FFT requires N = 65536 signal points, i.e. a 32-fold lengthening of each transient. Via the parametric FPT, at N P = 1700 all the resonances were resolved and metabolite concentrations precisely computed, including those that were almost completely overlapping (phosphocholine and phosphoethanolamine whose chemical shifts are separated by 0.001 parts per million). The multi-faceted signal-noise separation (SNS) procedure was applied through identification of pole-zero cancellations, zero or near zero amplitudes plus the stability test against different levels of noise. Via SNS, all the spurious resonances were confidently identified, thus leaving only genuine metabolites in the output list. Practical implications are underscored: the high resolution of the FPT will shorten the examination time of the patient. Using the FPT, the cancer biomarker phosphocholine, plus other informative metabolites can be identified and their concentrations exactly determined.