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Finding the Fourth Proportional to 757.29, 1,044.72 and 462.50

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Solution

The fourth proportional to 757.29, 1,044.72 and 462.50 is: 638.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.29 : 1,044.72 = 462.50 : x
  2. Step 2: Convert to fraction form
    757.29/1,044.72 = 462.50/x
  3. Step 3: Cross multiply
    757.29x = 1,044.72 × 462.50
  4. Step 4: Simplify right side
    757.29x = 483,185.61
  5. Step 5: Solve for x
    x = 483,185.61/757.29
  6. Step 6: Final answer
    x = 638.05

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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.