A mass 0.9 kg, attached to a horizontal spring, executes SHM with an amplitude A₁. When this mass passes through its mean position, then a smaller mass of 124 g is placed over it and both masses move together with amplitude A₂. If the ratio $\frac{{\mathrm{A}}_1}{{\mathrm{A}}_2}\text{ is }\frac{\mathrm{\alpha }}{\mathrm{\alpha }-1}$, then the value of $\mathrm{\alpha }$ will be ____ .