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Finding the Fourth Proportional to 1,198.40, 1,793.49 and 952.37

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Solution

The fourth proportional to 1,198.40, 1,793.49 and 952.37 is: 1,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.40 : 1,793.49 = 952.37 : x
  2. Step 2: Convert to fraction form
    1,198.40/1,793.49 = 952.37/x
  3. Step 3: Cross multiply
    1,198.40x = 1,793.49 × 952.37
  4. Step 4: Simplify right side
    1,198.40x = 1,708,057.10
  5. Step 5: Solve for x
    x = 1,708,057.10/1,198.40
  6. Step 6: Final answer
    x = 1,425.29

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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.