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Finding the Fourth Proportional to 721.46, 1,083.27 and 413.66

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Solution

The fourth proportional to 721.46, 1,083.27 and 413.66 is: 621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.46 : 1,083.27 = 413.66 : x
  2. Step 2: Convert to fraction form
    721.46/1,083.27 = 413.66/x
  3. Step 3: Cross multiply
    721.46x = 1,083.27 × 413.66
  4. Step 4: Simplify right side
    721.46x = 448,097.98
  5. Step 5: Solve for x
    x = 448,097.98/721.46
  6. Step 6: Final answer
    x = 621.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.