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Finding the Fourth Proportional to 1,200.92, 1,667.24 and 1,165.28

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Solution

The fourth proportional to 1,200.92, 1,667.24 and 1,165.28 is: 1,617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.92 : 1,667.24 = 1,165.28 : x
  2. Step 2: Convert to fraction form
    1,200.92/1,667.24 = 1,165.28/x
  3. Step 3: Cross multiply
    1,200.92x = 1,667.24 × 1,165.28
  4. Step 4: Simplify right side
    1,200.92x = 1,942,801.43
  5. Step 5: Solve for x
    x = 1,942,801.43/1,200.92
  6. Step 6: Final answer
    x = 1,617.76

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.