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Finding the Fourth Proportional to 756.87, 1,044.14 and 462.31

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Solution

The fourth proportional to 756.87, 1,044.14 and 462.31 is: 637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.87 : 1,044.14 = 462.31 : x
  2. Step 2: Convert to fraction form
    756.87/1,044.14 = 462.31/x
  3. Step 3: Cross multiply
    756.87x = 1,044.14 × 462.31
  4. Step 4: Simplify right side
    756.87x = 482,714.04
  5. Step 5: Solve for x
    x = 482,714.04/756.87
  6. Step 6: Final answer
    x = 637.78

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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.