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Finding the Fourth Proportional to 766.62, 1,148.49 and 382.14

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Solution

The fourth proportional to 766.62, 1,148.49 and 382.14 is: 572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.62 : 1,148.49 = 382.14 : x
  2. Step 2: Convert to fraction form
    766.62/1,148.49 = 382.14/x
  3. Step 3: Cross multiply
    766.62x = 1,148.49 × 382.14
  4. Step 4: Simplify right side
    766.62x = 438,883.97
  5. Step 5: Solve for x
    x = 438,883.97/766.62
  6. Step 6: Final answer
    x = 572.49

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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.