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Finding the Fourth Proportional to 943.41, 1,414.35 and 711.84

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Solution

The fourth proportional to 943.41, 1,414.35 and 711.84 is: 1,067.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.41 : 1,414.35 = 711.84 : x
  2. Step 2: Convert to fraction form
    943.41/1,414.35 = 711.84/x
  3. Step 3: Cross multiply
    943.41x = 1,414.35 × 711.84
  4. Step 4: Simplify right side
    943.41x = 1,006,790.90
  5. Step 5: Solve for x
    x = 1,006,790.90/943.41
  6. Step 6: Final answer
    x = 1,067.18

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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.