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Finding the Fourth Proportional to 834.15, 1,250.97 and 286.02

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Solution

The fourth proportional to 834.15, 1,250.97 and 286.02 is: 428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.15 : 1,250.97 = 286.02 : x
  2. Step 2: Convert to fraction form
    834.15/1,250.97 = 286.02/x
  3. Step 3: Cross multiply
    834.15x = 1,250.97 × 286.02
  4. Step 4: Simplify right side
    834.15x = 357,802.44
  5. Step 5: Solve for x
    x = 357,802.44/834.15
  6. Step 6: Final answer
    x = 428.94

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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.