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Finding the Fourth Proportional to 757.68, 1,045.71 and 462.90

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Solution

The fourth proportional to 757.68, 1,045.71 and 462.90 is: 638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.68 : 1,045.71 = 462.90 : x
  2. Step 2: Convert to fraction form
    757.68/1,045.71 = 462.90/x
  3. Step 3: Cross multiply
    757.68x = 1,045.71 × 462.90
  4. Step 4: Simplify right side
    757.68x = 484,059.16
  5. Step 5: Solve for x
    x = 484,059.16/757.68
  6. Step 6: Final answer
    x = 638.87

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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.