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Finding the Fourth Proportional to 1,111.91, 1,668.17 and 381.54

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Solution

The fourth proportional to 1,111.91, 1,668.17 and 381.54 is: 572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.91 : 1,668.17 = 381.54 : x
  2. Step 2: Convert to fraction form
    1,111.91/1,668.17 = 381.54/x
  3. Step 3: Cross multiply
    1,111.91x = 1,668.17 × 381.54
  4. Step 4: Simplify right side
    1,111.91x = 636,471.67
  5. Step 5: Solve for x
    x = 636,471.67/1,111.91
  6. Step 6: Final answer
    x = 572.42

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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.