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Finding the Fourth Proportional to 943.73, 1,414.31 and 712.42

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Solution

The fourth proportional to 943.73, 1,414.31 and 712.42 is: 1,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.73 : 1,414.31 = 712.42 : x
  2. Step 2: Convert to fraction form
    943.73/1,414.31 = 712.42/x
  3. Step 3: Cross multiply
    943.73x = 1,414.31 × 712.42
  4. Step 4: Simplify right side
    943.73x = 1,007,582.73
  5. Step 5: Solve for x
    x = 1,007,582.73/943.73
  6. Step 6: Final answer
    x = 1,067.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.