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Finding the Fourth Proportional to 1,020.92, 1,531.16 and 472.59

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Solution

The fourth proportional to 1,020.92, 1,531.16 and 472.59 is: 708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.92 : 1,531.16 = 472.59 : x
  2. Step 2: Convert to fraction form
    1,020.92/1,531.16 = 472.59/x
  3. Step 3: Cross multiply
    1,020.92x = 1,531.16 × 472.59
  4. Step 4: Simplify right side
    1,020.92x = 723,608.54
  5. Step 5: Solve for x
    x = 723,608.54/1,020.92
  6. Step 6: Final answer
    x = 708.78

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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.