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Finding the Fourth Proportional to 799.31, 1,199.09 and 337.07

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Solution

The fourth proportional to 799.31, 1,199.09 and 337.07 is: 505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.31 : 1,199.09 = 337.07 : x
  2. Step 2: Convert to fraction form
    799.31/1,199.09 = 337.07/x
  3. Step 3: Cross multiply
    799.31x = 1,199.09 × 337.07
  4. Step 4: Simplify right side
    799.31x = 404,177.27
  5. Step 5: Solve for x
    x = 404,177.27/799.31
  6. Step 6: Final answer
    x = 505.66

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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.