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Finding the Fourth Proportional to 738.97, 1,108.59 and 413.89

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Solution

The fourth proportional to 738.97, 1,108.59 and 413.89 is: 620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.97 : 1,108.59 = 413.89 : x
  2. Step 2: Convert to fraction form
    738.97/1,108.59 = 413.89/x
  3. Step 3: Cross multiply
    738.97x = 1,108.59 × 413.89
  4. Step 4: Simplify right side
    738.97x = 458,834.32
  5. Step 5: Solve for x
    x = 458,834.32/738.97
  6. Step 6: Final answer
    x = 620.91

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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.