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Finding the Fourth Proportional to 1,112.11, 1,667.97 and 371.67

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Solution

The fourth proportional to 1,112.11, 1,667.97 and 371.67 is: 557.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.11 : 1,667.97 = 371.67 : x
  2. Step 2: Convert to fraction form
    1,112.11/1,667.97 = 371.67/x
  3. Step 3: Cross multiply
    1,112.11x = 1,667.97 × 371.67
  4. Step 4: Simplify right side
    1,112.11x = 619,928.16
  5. Step 5: Solve for x
    x = 619,928.16/1,112.11
  6. Step 6: Final answer
    x = 557.44

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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.