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Finding the Fourth Proportional to 1,436.31, 1,982.19 and 806.82

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Solution

The fourth proportional to 1,436.31, 1,982.19 and 806.82 is: 1,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.31 : 1,982.19 = 806.82 : x
  2. Step 2: Convert to fraction form
    1,436.31/1,982.19 = 806.82/x
  3. Step 3: Cross multiply
    1,436.31x = 1,982.19 × 806.82
  4. Step 4: Simplify right side
    1,436.31x = 1,599,270.54
  5. Step 5: Solve for x
    x = 1,599,270.54/1,436.31
  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.