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Finding the Fourth Proportional to 861.05, 1,188.32 and 720.92

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Solution

The fourth proportional to 861.05, 1,188.32 and 720.92 is: 994.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.05 : 1,188.32 = 720.92 : x
  2. Step 2: Convert to fraction form
    861.05/1,188.32 = 720.92/x
  3. Step 3: Cross multiply
    861.05x = 1,188.32 × 720.92
  4. Step 4: Simplify right side
    861.05x = 856,674.11
  5. Step 5: Solve for x
    x = 856,674.11/861.05
  6. Step 6: Final answer
    x = 994.92

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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.