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Finding the Fourth Proportional to 766.53, 1,146.96 and 458.60

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Solution

The fourth proportional to 766.53, 1,146.96 and 458.60 is: 686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.53 : 1,146.96 = 458.60 : x
  2. Step 2: Convert to fraction form
    766.53/1,146.96 = 458.60/x
  3. Step 3: Cross multiply
    766.53x = 1,146.96 × 458.60
  4. Step 4: Simplify right side
    766.53x = 525,990.12
  5. Step 5: Solve for x
    x = 525,990.12/766.53
  6. Step 6: Final answer
    x = 686.20

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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.