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Finding the Fourth Proportional to 766.67, 1,148.78 and 458.16

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Solution

The fourth proportional to 766.67, 1,148.78 and 458.16 is: 686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.67 : 1,148.78 = 458.16 : x
  2. Step 2: Convert to fraction form
    766.67/1,148.78 = 458.16/x
  3. Step 3: Cross multiply
    766.67x = 1,148.78 × 458.16
  4. Step 4: Simplify right side
    766.67x = 526,321.88
  5. Step 5: Solve for x
    x = 526,321.88/766.67
  6. Step 6: Final answer
    x = 686.51

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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.