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Finding the Fourth Proportional to 1,198.80, 1,797.48 and 550.08

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Solution

The fourth proportional to 1,198.80, 1,797.48 and 550.08 is: 824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.80 : 1,797.48 = 550.08 : x
  2. Step 2: Convert to fraction form
    1,198.80/1,797.48 = 550.08/x
  3. Step 3: Cross multiply
    1,198.80x = 1,797.48 × 550.08
  4. Step 4: Simplify right side
    1,198.80x = 988,757.80
  5. Step 5: Solve for x
    x = 988,757.80/1,198.80
  6. Step 6: Final answer
    x = 824.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.