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Finding the Fourth Proportional to 834.02, 1,250.28 and 443.74

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Solution

The fourth proportional to 834.02, 1,250.28 and 443.74 is: 665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.02 : 1,250.28 = 443.74 : x
  2. Step 2: Convert to fraction form
    834.02/1,250.28 = 443.74/x
  3. Step 3: Cross multiply
    834.02x = 1,250.28 × 443.74
  4. Step 4: Simplify right side
    834.02x = 554,799.25
  5. Step 5: Solve for x
    x = 554,799.25/834.02
  6. Step 6: Final answer
    x = 665.21

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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.