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Finding the Fourth Proportional to 721.36, 1,082.04 and 413.56

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Solution

The fourth proportional to 721.36, 1,082.04 and 413.56 is: 620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.36 : 1,082.04 = 413.56 : x
  2. Step 2: Convert to fraction form
    721.36/1,082.04 = 413.56/x
  3. Step 3: Cross multiply
    721.36x = 1,082.04 × 413.56
  4. Step 4: Simplify right side
    721.36x = 447,488.46
  5. Step 5: Solve for x
    x = 447,488.46/721.36
  6. Step 6: Final answer
    x = 620.34

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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.