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Finding the Fourth Proportional to 721.42, 1,082.59 and 413.87

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Solution

The fourth proportional to 721.42, 1,082.59 and 413.87 is: 621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.42 : 1,082.59 = 413.87 : x
  2. Step 2: Convert to fraction form
    721.42/1,082.59 = 413.87/x
  3. Step 3: Cross multiply
    721.42x = 1,082.59 × 413.87
  4. Step 4: Simplify right side
    721.42x = 448,052.16
  5. Step 5: Solve for x
    x = 448,052.16/721.42
  6. Step 6: Final answer
    x = 621.07

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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.