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Finding the Fourth Proportional to 834.26, 1,249.76 and 767.84

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Solution

The fourth proportional to 834.26, 1,249.76 and 767.84 is: 1,150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.26 : 1,249.76 = 767.84 : x
  2. Step 2: Convert to fraction form
    834.26/1,249.76 = 767.84/x
  3. Step 3: Cross multiply
    834.26x = 1,249.76 × 767.84
  4. Step 4: Simplify right side
    834.26x = 959,611.39
  5. Step 5: Solve for x
    x = 959,611.39/834.26
  6. Step 6: Final answer
    x = 1,150.26

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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.