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Finding the Fourth Proportional to 834.26, 1,151.82 and 519.98

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Solution

The fourth proportional to 834.26, 1,151.82 and 519.98 is: 717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.26 : 1,151.82 = 519.98 : x
  2. Step 2: Convert to fraction form
    834.26/1,151.82 = 519.98/x
  3. Step 3: Cross multiply
    834.26x = 1,151.82 × 519.98
  4. Step 4: Simplify right side
    834.26x = 598,923.36
  5. Step 5: Solve for x
    x = 598,923.36/834.26
  6. Step 6: Final answer
    x = 717.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.