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Finding the Fourth Proportional to 943.78, 1,414.40 and 532.76

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Solution

The fourth proportional to 943.78, 1,414.40 and 532.76 is: 798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.78 : 1,414.40 = 532.76 : x
  2. Step 2: Convert to fraction form
    943.78/1,414.40 = 532.76/x
  3. Step 3: Cross multiply
    943.78x = 1,414.40 × 532.76
  4. Step 4: Simplify right side
    943.78x = 753,535.74
  5. Step 5: Solve for x
    x = 753,535.74/943.78
  6. Step 6: Final answer
    x = 798.42

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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.