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Finding the Fourth Proportional to 799.04, 1,198.42 and 221.78

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Solution

The fourth proportional to 799.04, 1,198.42 and 221.78 is: 332.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.04 : 1,198.42 = 221.78 : x
  2. Step 2: Convert to fraction form
    799.04/1,198.42 = 221.78/x
  3. Step 3: Cross multiply
    799.04x = 1,198.42 × 221.78
  4. Step 4: Simplify right side
    799.04x = 265,785.59
  5. Step 5: Solve for x
    x = 265,785.59/799.04
  6. Step 6: Final answer
    x = 332.63

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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.