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Finding the Fourth Proportional to 1,112.23, 1,667.76 and 381.52

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Solution

The fourth proportional to 1,112.23, 1,667.76 and 381.52 is: 572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.23 : 1,667.76 = 381.52 : x
  2. Step 2: Convert to fraction form
    1,112.23/1,667.76 = 381.52/x
  3. Step 3: Cross multiply
    1,112.23x = 1,667.76 × 381.52
  4. Step 4: Simplify right side
    1,112.23x = 636,283.80
  5. Step 5: Solve for x
    x = 636,283.80/1,112.23
  6. Step 6: Final answer
    x = 572.08

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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.