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Finding the Fourth Proportional to 863.08, 1,192.28 and 688.20

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Solution

The fourth proportional to 863.08, 1,192.28 and 688.20 is: 950.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.08 : 1,192.28 = 688.20 : x
  2. Step 2: Convert to fraction form
    863.08/1,192.28 = 688.20/x
  3. Step 3: Cross multiply
    863.08x = 1,192.28 × 688.20
  4. Step 4: Simplify right side
    863.08x = 820,527.10
  5. Step 5: Solve for x
    x = 820,527.10/863.08
  6. Step 6: Final answer
    x = 950.70

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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.