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Finding the Fourth Proportional to 863.46, 1,192.05 and 532.44

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Solution

The fourth proportional to 863.46, 1,192.05 and 532.44 is: 735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.46 : 1,192.05 = 532.44 : x
  2. Step 2: Convert to fraction form
    863.46/1,192.05 = 532.44/x
  3. Step 3: Cross multiply
    863.46x = 1,192.05 × 532.44
  4. Step 4: Simplify right side
    863.46x = 634,695.10
  5. Step 5: Solve for x
    x = 634,695.10/863.46
  6. Step 6: Final answer
    x = 735.06

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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.