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Finding the Fourth Proportional to 861.02, 1,187.43 and 566.18

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Solution

The fourth proportional to 861.02, 1,187.43 and 566.18 is: 780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.02 : 1,187.43 = 566.18 : x
  2. Step 2: Convert to fraction form
    861.02/1,187.43 = 566.18/x
  3. Step 3: Cross multiply
    861.02x = 1,187.43 × 566.18
  4. Step 4: Simplify right side
    861.02x = 672,299.12
  5. Step 5: Solve for x
    x = 672,299.12/861.02
  6. Step 6: Final answer
    x = 780.82

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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.