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Finding the Fourth Proportional to 839.73, 1,257.17 and 514.11

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Solution

The fourth proportional to 839.73, 1,257.17 and 514.11 is: 769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.73 : 1,257.17 = 514.11 : x
  2. Step 2: Convert to fraction form
    839.73/1,257.17 = 514.11/x
  3. Step 3: Cross multiply
    839.73x = 1,257.17 × 514.11
  4. Step 4: Simplify right side
    839.73x = 646,321.10
  5. Step 5: Solve for x
    x = 646,321.10/839.73
  6. Step 6: Final answer
    x = 769.68

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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.