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Finding the Fourth Proportional to 834.39, 1,249.76 and 468.98

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Solution

The fourth proportional to 834.39, 1,249.76 and 468.98 is: 702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.39 : 1,249.76 = 468.98 : x
  2. Step 2: Convert to fraction form
    834.39/1,249.76 = 468.98/x
  3. Step 3: Cross multiply
    834.39x = 1,249.76 × 468.98
  4. Step 4: Simplify right side
    834.39x = 586,103.85
  5. Step 5: Solve for x
    x = 586,103.85/834.39
  6. Step 6: Final answer
    x = 702.43

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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.