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Finding the Fourth Proportional to 1,200.72, 1,799.28 and 892.08

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Solution

The fourth proportional to 1,200.72, 1,799.28 and 892.08 is: 1,336.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.72 : 1,799.28 = 892.08 : x
  2. Step 2: Convert to fraction form
    1,200.72/1,799.28 = 892.08/x
  3. Step 3: Cross multiply
    1,200.72x = 1,799.28 × 892.08
  4. Step 4: Simplify right side
    1,200.72x = 1,605,101.70
  5. Step 5: Solve for x
    x = 1,605,101.70/1,200.72
  6. Step 6: Final answer
    x = 1,336.78

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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.