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Finding the Fourth Proportional to 863.97, 1,191.92 and 602.15

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Solution

The fourth proportional to 863.97, 1,191.92 and 602.15 is: 830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.97 : 1,191.92 = 602.15 : x
  2. Step 2: Convert to fraction form
    863.97/1,191.92 = 602.15/x
  3. Step 3: Cross multiply
    863.97x = 1,191.92 × 602.15
  4. Step 4: Simplify right side
    863.97x = 717,705.66
  5. Step 5: Solve for x
    x = 717,705.66/863.97
  6. Step 6: Final answer
    x = 830.71

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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.