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Finding the Fourth Proportional to 834.48, 1,249.26 and 798.84

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Solution

The fourth proportional to 834.48, 1,249.26 and 798.84 is: 1,195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.48 : 1,249.26 = 798.84 : x
  2. Step 2: Convert to fraction form
    834.48/1,249.26 = 798.84/x
  3. Step 3: Cross multiply
    834.48x = 1,249.26 × 798.84
  4. Step 4: Simplify right side
    834.48x = 997,958.86
  5. Step 5: Solve for x
    x = 997,958.86/834.48
  6. Step 6: Final answer
    x = 1,195.91

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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.