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Finding the Fourth Proportional to 834.26, 1,251.57 and 423.62

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Solution

The fourth proportional to 834.26, 1,251.57 and 423.62 is: 635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.26 : 1,251.57 = 423.62 : x
  2. Step 2: Convert to fraction form
    834.26/1,251.57 = 423.62/x
  3. Step 3: Cross multiply
    834.26x = 1,251.57 × 423.62
  4. Step 4: Simplify right side
    834.26x = 530,190.08
  5. Step 5: Solve for x
    x = 530,190.08/834.26
  6. Step 6: Final answer
    x = 635.52

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1.5x scale

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.