Finding the Fourth Proportional to 727.43, 1,089.32 and 509.94
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Solution
The fourth proportional to 727.43, 1,089.32 and 509.94 is: 763.63
Step by Step Solution
- Step 1: Write the proportion equation
727.43 : 1,089.32 = 509.94 : x - Step 2: Convert to fraction form
727.43/1,089.32 = 509.94/x - Step 3: Cross multiply
727.43x = 1,089.32 × 509.94 - Step 4: Simplify right side
727.43x = 555,485.29 - Step 5: Solve for x
x = 555,485.29/727.43 - Step 6: Final answer
x = 763.63
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.