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Finding the Fourth Proportional to 739.25, 1,108.17 and 586.16

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Solution

The fourth proportional to 739.25, 1,108.17 and 586.16 is: 878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.25 : 1,108.17 = 586.16 : x
  2. Step 2: Convert to fraction form
    739.25/1,108.17 = 586.16/x
  3. Step 3: Cross multiply
    739.25x = 1,108.17 × 586.16
  4. Step 4: Simplify right side
    739.25x = 649,559.39
  5. Step 5: Solve for x
    x = 649,559.39/739.25
  6. Step 6: Final answer
    x = 878.68

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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.