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Finding the Fourth Proportional to 766.98, 1,149.57 and 458.64

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Solution

The fourth proportional to 766.98, 1,149.57 and 458.64 is: 687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.98 : 1,149.57 = 458.64 : x
  2. Step 2: Convert to fraction form
    766.98/1,149.57 = 458.64/x
  3. Step 3: Cross multiply
    766.98x = 1,149.57 × 458.64
  4. Step 4: Simplify right side
    766.98x = 527,238.78
  5. Step 5: Solve for x
    x = 527,238.78/766.98
  6. Step 6: Final answer
    x = 687.42

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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.