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Finding the Fourth Proportional to 1,111.98, 1,668.12 and 381.61

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Solution

The fourth proportional to 1,111.98, 1,668.12 and 381.61 is: 572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.98 : 1,668.12 = 381.61 : x
  2. Step 2: Convert to fraction form
    1,111.98/1,668.12 = 381.61/x
  3. Step 3: Cross multiply
    1,111.98x = 1,668.12 × 381.61
  4. Step 4: Simplify right side
    1,111.98x = 636,571.27
  5. Step 5: Solve for x
    x = 636,571.27/1,111.98
  6. Step 6: Final answer
    x = 572.47

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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.