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Finding the Fourth Proportional to 721.98, 1,082.25 and 413.73

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Solution

The fourth proportional to 721.98, 1,082.25 and 413.73 is: 620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.98 : 1,082.25 = 413.73 : x
  2. Step 2: Convert to fraction form
    721.98/1,082.25 = 413.73/x
  3. Step 3: Cross multiply
    721.98x = 1,082.25 × 413.73
  4. Step 4: Simplify right side
    721.98x = 447,759.29
  5. Step 5: Solve for x
    x = 447,759.29/721.98
  6. Step 6: Final answer
    x = 620.18

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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.