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Finding the Fourth Proportional to 1,079.52, 1,617.12 and 531.96

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Solution

The fourth proportional to 1,079.52, 1,617.12 and 531.96 is: 796.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.52 : 1,617.12 = 531.96 : x
  2. Step 2: Convert to fraction form
    1,079.52/1,617.12 = 531.96/x
  3. Step 3: Cross multiply
    1,079.52x = 1,617.12 × 531.96
  4. Step 4: Simplify right side
    1,079.52x = 860,243.16
  5. Step 5: Solve for x
    x = 860,243.16/1,079.52
  6. Step 6: Final answer
    x = 796.88

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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.