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Finding the Fourth Proportional to 1,198.08, 1,796.78 and 850.38

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Solution

The fourth proportional to 1,198.08, 1,796.78 and 850.38 is: 1,275.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.08 : 1,796.78 = 850.38 : x
  2. Step 2: Convert to fraction form
    1,198.08/1,796.78 = 850.38/x
  3. Step 3: Cross multiply
    1,198.08x = 1,796.78 × 850.38
  4. Step 4: Simplify right side
    1,198.08x = 1,527,945.78
  5. Step 5: Solve for x
    x = 1,527,945.78/1,198.08
  6. Step 6: Final answer
    x = 1,275.33

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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.