Spielberg builds a portfolio by investing in two stocks only: Google $($GOOG$)$ and Motorola $($MSI$).$ According to the CAPM, the expected risk premium $($i$.$e$.,$ the expected return minus the risk$-$free rate$)$ of GOOG is $12\mathrm{.}53\%$ and the expected risk premium of MSI is $5\mathrm{.}64\%.$ The beta of GOOG is equal to $1\mathrm{.}24.$ If Spielberg puts $71\%$ of his money in GOOG stock and $29\%$ in MSI stock, what is the approximate beta of his portfolio?