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Finding the Fourth Proportional to 834.91, 1,251.16 and 468.92

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Solution

The fourth proportional to 834.91, 1,251.16 and 468.92 is: 702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.91 : 1,251.16 = 468.92 : x
  2. Step 2: Convert to fraction form
    834.91/1,251.16 = 468.92/x
  3. Step 3: Cross multiply
    834.91x = 1,251.16 × 468.92
  4. Step 4: Simplify right side
    834.91x = 586,697.08
  5. Step 5: Solve for x
    x = 586,697.08/834.91
  6. Step 6: Final answer
    x = 702.71

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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.