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Finding the Fourth Proportional to 724.38, 1,085.67 and 519.36

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Solution

The fourth proportional to 724.38, 1,085.67 and 519.36 is: 778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.38 : 1,085.67 = 519.36 : x
  2. Step 2: Convert to fraction form
    724.38/1,085.67 = 519.36/x
  3. Step 3: Cross multiply
    724.38x = 1,085.67 × 519.36
  4. Step 4: Simplify right side
    724.38x = 563,853.57
  5. Step 5: Solve for x
    x = 563,853.57/724.38
  6. Step 6: Final answer
    x = 778.39

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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.