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Finding the Fourth Proportional to 863.46, 1,190.88 and 531.78

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Solution

The fourth proportional to 863.46, 1,190.88 and 531.78 is: 733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.46 : 1,190.88 = 531.78 : x
  2. Step 2: Convert to fraction form
    863.46/1,190.88 = 531.78/x
  3. Step 3: Cross multiply
    863.46x = 1,190.88 × 531.78
  4. Step 4: Simplify right side
    863.46x = 633,286.17
  5. Step 5: Solve for x
    x = 633,286.17/863.46
  6. Step 6: Final answer
    x = 733.43

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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.