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Finding the Fourth Proportional to 861.13, 1,187.68 and 529.27

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Solution

The fourth proportional to 861.13, 1,187.68 and 529.27 is: 729.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.13 : 1,187.68 = 529.27 : x
  2. Step 2: Convert to fraction form
    861.13/1,187.68 = 529.27/x
  3. Step 3: Cross multiply
    861.13x = 1,187.68 × 529.27
  4. Step 4: Simplify right side
    861.13x = 628,603.39
  5. Step 5: Solve for x
    x = 628,603.39/861.13
  6. Step 6: Final answer
    x = 729.98

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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.