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Finding the Fourth Proportional to 766.20, 1,147.82 and 458.30

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Solution

The fourth proportional to 766.20, 1,147.82 and 458.30 is: 686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.20 : 1,147.82 = 458.30 : x
  2. Step 2: Convert to fraction form
    766.20/1,147.82 = 458.30/x
  3. Step 3: Cross multiply
    766.20x = 1,147.82 × 458.30
  4. Step 4: Simplify right side
    766.20x = 526,045.91
  5. Step 5: Solve for x
    x = 526,045.91/766.20
  6. Step 6: Final answer
    x = 686.56

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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.