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Finding the Fourth Proportional to 723.72, 1,084.36 and 517.24

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Solution

The fourth proportional to 723.72, 1,084.36 and 517.24 is: 774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.72 : 1,084.36 = 517.24 : x
  2. Step 2: Convert to fraction form
    723.72/1,084.36 = 517.24/x
  3. Step 3: Cross multiply
    723.72x = 1,084.36 × 517.24
  4. Step 4: Simplify right side
    723.72x = 560,874.37
  5. Step 5: Solve for x
    x = 560,874.37/723.72
  6. Step 6: Final answer
    x = 774.99

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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.