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Finding the Fourth Proportional to 799.56, 1,199.43 and 337.46

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Solution

The fourth proportional to 799.56, 1,199.43 and 337.46 is: 506.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.56 : 1,199.43 = 337.46 : x
  2. Step 2: Convert to fraction form
    799.56/1,199.43 = 337.46/x
  3. Step 3: Cross multiply
    799.56x = 1,199.43 × 337.46
  4. Step 4: Simplify right side
    799.56x = 404,753.65
  5. Step 5: Solve for x
    x = 404,753.65/799.56
  6. Step 6: Final answer
    x = 506.22

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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.