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Finding the Fourth Proportional to 724.80, 1,085.96 and 477.85

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Solution

The fourth proportional to 724.80, 1,085.96 and 477.85 is: 715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.80 : 1,085.96 = 477.85 : x
  2. Step 2: Convert to fraction form
    724.80/1,085.96 = 477.85/x
  3. Step 3: Cross multiply
    724.80x = 1,085.96 × 477.85
  4. Step 4: Simplify right side
    724.80x = 518,923.81
  5. Step 5: Solve for x
    x = 518,923.81/724.80
  6. Step 6: Final answer
    x = 715.96

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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.