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Finding the Fourth Proportional to 721.76, 1,082.30 and 413.53

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Solution

The fourth proportional to 721.76, 1,082.30 and 413.53 is: 620.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.76 : 1,082.30 = 413.53 : x
  2. Step 2: Convert to fraction form
    721.76/1,082.30 = 413.53/x
  3. Step 3: Cross multiply
    721.76x = 1,082.30 × 413.53
  4. Step 4: Simplify right side
    721.76x = 447,556.04
  5. Step 5: Solve for x
    x = 447,556.04/721.76
  6. Step 6: Final answer
    x = 620.09

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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.