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Finding the Fourth Proportional to 943.96, 1,414.10 and 618.34

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Solution

The fourth proportional to 943.96, 1,414.10 and 618.34 is: 926.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.96 : 1,414.10 = 618.34 : x
  2. Step 2: Convert to fraction form
    943.96/1,414.10 = 618.34/x
  3. Step 3: Cross multiply
    943.96x = 1,414.10 × 618.34
  4. Step 4: Simplify right side
    943.96x = 874,394.59
  5. Step 5: Solve for x
    x = 874,394.59/943.96
  6. Step 6: Final answer
    x = 926.30

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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.