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Finding the Fourth Proportional to 863.88, 1,192.17 and 532.06

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Solution

The fourth proportional to 863.88, 1,192.17 and 532.06 is: 734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.88 : 1,192.17 = 532.06 : x
  2. Step 2: Convert to fraction form
    863.88/1,192.17 = 532.06/x
  3. Step 3: Cross multiply
    863.88x = 1,192.17 × 532.06
  4. Step 4: Simplify right side
    863.88x = 634,304.98
  5. Step 5: Solve for x
    x = 634,304.98/863.88
  6. Step 6: Final answer
    x = 734.25

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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.