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Finding the Fourth Proportional to 765.72, 1,057.19 and 471.15

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Solution

The fourth proportional to 765.72, 1,057.19 and 471.15 is: 650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.72 : 1,057.19 = 471.15 : x
  2. Step 2: Convert to fraction form
    765.72/1,057.19 = 471.15/x
  3. Step 3: Cross multiply
    765.72x = 1,057.19 × 471.15
  4. Step 4: Simplify right side
    765.72x = 498,092.71
  5. Step 5: Solve for x
    x = 498,092.71/765.72
  6. Step 6: Final answer
    x = 650.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.