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Finding the Fourth Proportional to 834.35, 1,250.60 and 395.13

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Solution

The fourth proportional to 834.35, 1,250.60 and 395.13 is: 592.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.35 : 1,250.60 = 395.13 : x
  2. Step 2: Convert to fraction form
    834.35/1,250.60 = 395.13/x
  3. Step 3: Cross multiply
    834.35x = 1,250.60 × 395.13
  4. Step 4: Simplify right side
    834.35x = 494,149.58
  5. Step 5: Solve for x
    x = 494,149.58/834.35
  6. Step 6: Final answer
    x = 592.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.