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Finding the Fourth Proportional to 724.85, 1,088.49 and 475.10

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Solution

The fourth proportional to 724.85, 1,088.49 and 475.10 is: 713.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.85 : 1,088.49 = 475.10 : x
  2. Step 2: Convert to fraction form
    724.85/1,088.49 = 475.10/x
  3. Step 3: Cross multiply
    724.85x = 1,088.49 × 475.10
  4. Step 4: Simplify right side
    724.85x = 517,139.35
  5. Step 5: Solve for x
    x = 517,139.35/724.85
  6. Step 6: Final answer
    x = 713.44

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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.