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Finding the Fourth Proportional to 799.26, 1,198.86 and 251.43

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Solution

The fourth proportional to 799.26, 1,198.86 and 251.43 is: 377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.26 : 1,198.86 = 251.43 : x
  2. Step 2: Convert to fraction form
    799.26/1,198.86 = 251.43/x
  3. Step 3: Cross multiply
    799.26x = 1,198.86 × 251.43
  4. Step 4: Simplify right side
    799.26x = 301,429.37
  5. Step 5: Solve for x
    x = 301,429.37/799.26
  6. Step 6: Final answer
    x = 377.14

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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.