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Finding the Fourth Proportional to 799.82, 1,199.81 and 337.54

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Solution

The fourth proportional to 799.82, 1,199.81 and 337.54 is: 506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.82 : 1,199.81 = 337.54 : x
  2. Step 2: Convert to fraction form
    799.82/1,199.81 = 337.54/x
  3. Step 3: Cross multiply
    799.82x = 1,199.81 × 337.54
  4. Step 4: Simplify right side
    799.82x = 404,980.59
  5. Step 5: Solve for x
    x = 404,980.59/799.82
  6. Step 6: Final answer
    x = 506.34

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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.