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Finding the Fourth Proportional to 799.14, 1,198.88 and 243.81

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Solution

The fourth proportional to 799.14, 1,198.88 and 243.81 is: 365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.14 : 1,198.88 = 243.81 : x
  2. Step 2: Convert to fraction form
    799.14/1,198.88 = 243.81/x
  3. Step 3: Cross multiply
    799.14x = 1,198.88 × 243.81
  4. Step 4: Simplify right side
    799.14x = 292,298.93
  5. Step 5: Solve for x
    x = 292,298.93/799.14
  6. Step 6: Final answer
    x = 365.77

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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.