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Finding the Fourth Proportional to 834.85, 1,251.21 and 396.10

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Solution

The fourth proportional to 834.85, 1,251.21 and 396.10 is: 593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.85 : 1,251.21 = 396.10 : x
  2. Step 2: Convert to fraction form
    834.85/1,251.21 = 396.10/x
  3. Step 3: Cross multiply
    834.85x = 1,251.21 × 396.10
  4. Step 4: Simplify right side
    834.85x = 495,604.28
  5. Step 5: Solve for x
    x = 495,604.28/834.85
  6. Step 6: Final answer
    x = 593.64

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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.