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Finding the Fourth Proportional to 724.73, 1,085.17 and 494.07

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Solution

The fourth proportional to 724.73, 1,085.17 and 494.07 is: 739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.73 : 1,085.17 = 494.07 : x
  2. Step 2: Convert to fraction form
    724.73/1,085.17 = 494.07/x
  3. Step 3: Cross multiply
    724.73x = 1,085.17 × 494.07
  4. Step 4: Simplify right side
    724.73x = 536,152.78
  5. Step 5: Solve for x
    x = 536,152.78/724.73
  6. Step 6: Final answer
    x = 739.79

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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.