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Finding the Fourth Proportional to 863.04, 1,191.84 and 688.80

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Solution

The fourth proportional to 863.04, 1,191.84 and 688.80 is: 951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.04 : 1,191.84 = 688.80 : x
  2. Step 2: Convert to fraction form
    863.04/1,191.84 = 688.80/x
  3. Step 3: Cross multiply
    863.04x = 1,191.84 × 688.80
  4. Step 4: Simplify right side
    863.04x = 820,939.39
  5. Step 5: Solve for x
    x = 820,939.39/863.04
  6. Step 6: Final answer
    x = 951.22

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