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Finding the Fourth Proportional to 799.21, 1,199.15 and 337.09

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Solution

The fourth proportional to 799.21, 1,199.15 and 337.09 is: 505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.21 : 1,199.15 = 337.09 : x
  2. Step 2: Convert to fraction form
    799.21/1,199.15 = 337.09/x
  3. Step 3: Cross multiply
    799.21x = 1,199.15 × 337.09
  4. Step 4: Simplify right side
    799.21x = 404,221.47
  5. Step 5: Solve for x
    x = 404,221.47/799.21
  6. Step 6: Final answer
    x = 505.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.