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Finding the Fourth Proportional to 757.45, 1,045.31 and 462.71

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Solution

The fourth proportional to 757.45, 1,045.31 and 462.71 is: 638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.45 : 1,045.31 = 462.71 : x
  2. Step 2: Convert to fraction form
    757.45/1,045.31 = 462.71/x
  3. Step 3: Cross multiply
    757.45x = 1,045.31 × 462.71
  4. Step 4: Simplify right side
    757.45x = 483,675.69
  5. Step 5: Solve for x
    x = 483,675.69/757.45
  6. Step 6: Final answer
    x = 638.56

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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.