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Finding the Fourth Proportional to 943.14, 1,414.02 and 634.22

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Solution

The fourth proportional to 943.14, 1,414.02 and 634.22 is: 950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.14 : 1,414.02 = 634.22 : x
  2. Step 2: Convert to fraction form
    943.14/1,414.02 = 634.22/x
  3. Step 3: Cross multiply
    943.14x = 1,414.02 × 634.22
  4. Step 4: Simplify right side
    943.14x = 896,796.59
  5. Step 5: Solve for x
    x = 896,796.59/943.14
  6. Step 6: Final answer
    x = 950.87

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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.