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Finding the Fourth Proportional to 1,112.65, 1,667.15 and 381.83

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Solution

The fourth proportional to 1,112.65, 1,667.15 and 381.83 is: 572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.65 : 1,667.15 = 381.83 : x
  2. Step 2: Convert to fraction form
    1,112.65/1,667.15 = 381.83/x
  3. Step 3: Cross multiply
    1,112.65x = 1,667.15 × 381.83
  4. Step 4: Simplify right side
    1,112.65x = 636,567.88
  5. Step 5: Solve for x
    x = 636,567.88/1,112.65
  6. Step 6: Final answer
    x = 572.12

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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.