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Finding the Fourth Proportional to 1,198.90, 1,797.45 and 807.79

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Solution

The fourth proportional to 1,198.90, 1,797.45 and 807.79 is: 1,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.90 : 1,797.45 = 807.79 : x
  2. Step 2: Convert to fraction form
    1,198.90/1,797.45 = 807.79/x
  3. Step 3: Cross multiply
    1,198.90x = 1,797.45 × 807.79
  4. Step 4: Simplify right side
    1,198.90x = 1,451,958.10
  5. Step 5: Solve for x
    x = 1,451,958.10/1,198.90
  6. Step 6: Final answer
    x = 1,211.08

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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.