\(\frac{3}{4}\) : \(\frac{5}{7}\) : : \(\frac{5}{12}\) : ?

\(\frac{13}{25}\) \(\frac{7}{13}\) \(\frac{13}{17}\) \(\frac{10}{17}\)

\(\frac{13}{17}\)

32 + 42 = (5)2 = \(\sqrt {25}\) = 5            52 + 122 = (13)2 = 13               3 + 4 = 7                                        5 + 12  = 17 So correct answer is \(\frac{13}{17}\)