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Finding the Fourth Proportional to 739.69, 1,108.56 and 413.44

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Solution

The fourth proportional to 739.69, 1,108.56 and 413.44 is: 619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.69 : 1,108.56 = 413.44 : x
  2. Step 2: Convert to fraction form
    739.69/1,108.56 = 413.44/x
  3. Step 3: Cross multiply
    739.69x = 1,108.56 × 413.44
  4. Step 4: Simplify right side
    739.69x = 458,323.05
  5. Step 5: Solve for x
    x = 458,323.05/739.69
  6. Step 6: Final answer
    x = 619.62

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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.