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Finding the Fourth Proportional to 765.70, 1,149.52 and 637.27

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Solution

The fourth proportional to 765.70, 1,149.52 and 637.27 is: 956.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.70 : 1,149.52 = 637.27 : x
  2. Step 2: Convert to fraction form
    765.70/1,149.52 = 637.27/x
  3. Step 3: Cross multiply
    765.70x = 1,149.52 × 637.27
  4. Step 4: Simplify right side
    765.70x = 732,551.34
  5. Step 5: Solve for x
    x = 732,551.34/765.70
  6. Step 6: Final answer
    x = 956.71

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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.