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Finding the Fourth Proportional to 799.28, 1,198.16 and 365.84

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Solution

The fourth proportional to 799.28, 1,198.16 and 365.84 is: 548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.28 : 1,198.16 = 365.84 : x
  2. Step 2: Convert to fraction form
    799.28/1,198.16 = 365.84/x
  3. Step 3: Cross multiply
    799.28x = 1,198.16 × 365.84
  4. Step 4: Simplify right side
    799.28x = 438,334.85
  5. Step 5: Solve for x
    x = 438,334.85/799.28
  6. Step 6: Final answer
    x = 548.41

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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.