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Finding the Fourth Proportional to 865.96, 1,195.12 and 534.32

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Solution

The fourth proportional to 865.96, 1,195.12 and 534.32 is: 737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.96 : 1,195.12 = 534.32 : x
  2. Step 2: Convert to fraction form
    865.96/1,195.12 = 534.32/x
  3. Step 3: Cross multiply
    865.96x = 1,195.12 × 534.32
  4. Step 4: Simplify right side
    865.96x = 638,576.52
  5. Step 5: Solve for x
    x = 638,576.52/865.96
  6. Step 6: Final answer
    x = 737.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.