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Finding the Fourth Proportional to 1,436.43, 1,982.21 and 806.88

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Solution

The fourth proportional to 1,436.43, 1,982.21 and 806.88 is: 1,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.43 : 1,982.21 = 806.88 : x
  2. Step 2: Convert to fraction form
    1,436.43/1,982.21 = 806.88/x
  3. Step 3: Cross multiply
    1,436.43x = 1,982.21 × 806.88
  4. Step 4: Simplify right side
    1,436.43x = 1,599,401.57
  5. Step 5: Solve for x
    x = 1,599,401.57/1,436.43
  6. Step 6: Final answer
    x = 1,113.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.