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Finding the Fourth Proportional to 799.45, 1,198.36 and 311.83

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Solution

The fourth proportional to 799.45, 1,198.36 and 311.83 is: 467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.45 : 1,198.36 = 311.83 : x
  2. Step 2: Convert to fraction form
    799.45/1,198.36 = 311.83/x
  3. Step 3: Cross multiply
    799.45x = 1,198.36 × 311.83
  4. Step 4: Simplify right side
    799.45x = 373,684.60
  5. Step 5: Solve for x
    x = 373,684.60/799.45
  6. Step 6: Final answer
    x = 467.43

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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.