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Finding the Fourth Proportional to 943.34, 1,414.49 and 749.59

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Solution

The fourth proportional to 943.34, 1,414.49 and 749.59 is: 1,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.34 : 1,414.49 = 749.59 : x
  2. Step 2: Convert to fraction form
    943.34/1,414.49 = 749.59/x
  3. Step 3: Cross multiply
    943.34x = 1,414.49 × 749.59
  4. Step 4: Simplify right side
    943.34x = 1,060,287.56
  5. Step 5: Solve for x
    x = 1,060,287.56/943.34
  6. Step 6: Final answer
    x = 1,123.97

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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.