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Finding the Fourth Proportional to 799.92, 1,200.12 and 366.96

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Solution

The fourth proportional to 799.92, 1,200.12 and 366.96 is: 550.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.92 : 1,200.12 = 366.96 : x
  2. Step 2: Convert to fraction form
    799.92/1,200.12 = 366.96/x
  3. Step 3: Cross multiply
    799.92x = 1,200.12 × 366.96
  4. Step 4: Simplify right side
    799.92x = 440,396.04
  5. Step 5: Solve for x
    x = 440,396.04/799.92
  6. Step 6: Final answer
    x = 550.55

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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.