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Finding the Fourth Proportional to 837.74, 1,249.83 and 798.56

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Solution

The fourth proportional to 837.74, 1,249.83 and 798.56 is: 1,191.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.74 : 1,249.83 = 798.56 : x
  2. Step 2: Convert to fraction form
    837.74/1,249.83 = 798.56/x
  3. Step 3: Cross multiply
    837.74x = 1,249.83 × 798.56
  4. Step 4: Simplify right side
    837.74x = 998,062.68
  5. Step 5: Solve for x
    x = 998,062.68/837.74
  6. Step 6: Final answer
    x = 1,191.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.