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Finding the Fourth Proportional to 861.06, 1,288.81 and 449.62

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Solution

The fourth proportional to 861.06, 1,288.81 and 449.62 is: 672.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.06 : 1,288.81 = 449.62 : x
  2. Step 2: Convert to fraction form
    861.06/1,288.81 = 449.62/x
  3. Step 3: Cross multiply
    861.06x = 1,288.81 × 449.62
  4. Step 4: Simplify right side
    861.06x = 579,474.75
  5. Step 5: Solve for x
    x = 579,474.75/861.06
  6. Step 6: Final answer
    x = 672.98

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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.