A detailed study of the superconductivity, magnetic ordering of Pr ions and the normal transport properties is reported for sintered (R1-xPrx)Ba2Cu3O7 samples (R=Lu, Yb, Tm, Er, Y, Ho, Dy, Gd, Eu, Sm and Nd) with x = 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, and 1.0. We found that at a constant Pr concentration, x, the superconducting transition temperature, Tc, the antiferromagnetic ordering temperature, TN of Pr ions and the normal state resistivity, pn, in (R1-xPrx)Ba2Cu3O7 systems are R ion-size dependent. These results reveal a close correlation between the superconductivity, magnetic ordering of Pr ions and the normal transport properties in these systems. Observed results were interpreted in terms of the hybridization between the local states of Pr ion and the conduction band states of the CuO2 planes.