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Finding the Fourth Proportional to 724.28, 1,085.87 and 451.04

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Solution

The fourth proportional to 724.28, 1,085.87 and 451.04 is: 676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.28 : 1,085.87 = 451.04 : x
  2. Step 2: Convert to fraction form
    724.28/1,085.87 = 451.04/x
  3. Step 3: Cross multiply
    724.28x = 1,085.87 × 451.04
  4. Step 4: Simplify right side
    724.28x = 489,766.50
  5. Step 5: Solve for x
    x = 489,766.50/724.28
  6. Step 6: Final answer
    x = 676.22

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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.