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Finding the Fourth Proportional to 766.43, 1,147.82 and 419.25

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Solution

The fourth proportional to 766.43, 1,147.82 and 419.25 is: 627.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.43 : 1,147.82 = 419.25 : x
  2. Step 2: Convert to fraction form
    766.43/1,147.82 = 419.25/x
  3. Step 3: Cross multiply
    766.43x = 1,147.82 × 419.25
  4. Step 4: Simplify right side
    766.43x = 481,215.70
  5. Step 5: Solve for x
    x = 481,215.70/766.43
  6. Step 6: Final answer
    x = 627.87

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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.