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Finding the Fourth Proportional to 1,281.38, 1,922.11 and 585.97

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Solution

The fourth proportional to 1,281.38, 1,922.11 and 585.97 is: 878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.38 : 1,922.11 = 585.97 : x
  2. Step 2: Convert to fraction form
    1,281.38/1,922.11 = 585.97/x
  3. Step 3: Cross multiply
    1,281.38x = 1,922.11 × 585.97
  4. Step 4: Simplify right side
    1,281.38x = 1,126,292.53
  5. Step 5: Solve for x
    x = 1,126,292.53/1,281.38
  6. Step 6: Final answer
    x = 878.97

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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.