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Finding the Fourth Proportional to 861.14, 1,291.73 and 244.77

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Solution

The fourth proportional to 861.14, 1,291.73 and 244.77 is: 367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.14 : 1,291.73 = 244.77 : x
  2. Step 2: Convert to fraction form
    861.14/1,291.73 = 244.77/x
  3. Step 3: Cross multiply
    861.14x = 1,291.73 × 244.77
  4. Step 4: Simplify right side
    861.14x = 316,175.53
  5. Step 5: Solve for x
    x = 316,175.53/861.14
  6. Step 6: Final answer
    x = 367.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.