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Finding the Fourth Proportional to 834.85, 1,251.35 and 395.63

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Solution

The fourth proportional to 834.85, 1,251.35 and 395.63 is: 593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.85 : 1,251.35 = 395.63 : x
  2. Step 2: Convert to fraction form
    834.85/1,251.35 = 395.63/x
  3. Step 3: Cross multiply
    834.85x = 1,251.35 × 395.63
  4. Step 4: Simplify right side
    834.85x = 495,071.60
  5. Step 5: Solve for x
    x = 495,071.60/834.85
  6. Step 6: Final answer
    x = 593.01

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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.