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Finding the Fourth Proportional to 739.72, 1,108.68 and 451.36

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Solution

The fourth proportional to 739.72, 1,108.68 and 451.36 is: 676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.72 : 1,108.68 = 451.36 : x
  2. Step 2: Convert to fraction form
    739.72/1,108.68 = 451.36/x
  3. Step 3: Cross multiply
    739.72x = 1,108.68 × 451.36
  4. Step 4: Simplify right side
    739.72x = 500,413.80
  5. Step 5: Solve for x
    x = 500,413.80/739.72
  6. Step 6: Final answer
    x = 676.49

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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.