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Finding the Fourth Proportional to 739.10, 1,109.33 and 585.47

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Solution

The fourth proportional to 739.10, 1,109.33 and 585.47 is: 878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.10 : 1,109.33 = 585.47 : x
  2. Step 2: Convert to fraction form
    739.10/1,109.33 = 585.47/x
  3. Step 3: Cross multiply
    739.10x = 1,109.33 × 585.47
  4. Step 4: Simplify right side
    739.10x = 649,479.44
  5. Step 5: Solve for x
    x = 649,479.44/739.10
  6. Step 6: Final answer
    x = 878.74

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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.