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Finding the Fourth Proportional to 1,112.13, 1,668.40 and 381.54

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Solution

The fourth proportional to 1,112.13, 1,668.40 and 381.54 is: 572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.13 : 1,668.40 = 381.54 : x
  2. Step 2: Convert to fraction form
    1,112.13/1,668.40 = 381.54/x
  3. Step 3: Cross multiply
    1,112.13x = 1,668.40 × 381.54
  4. Step 4: Simplify right side
    1,112.13x = 636,566.64
  5. Step 5: Solve for x
    x = 636,566.64/1,112.13
  6. Step 6: Final answer
    x = 572.39

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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.