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Finding the Fourth Proportional to 1,436.37, 1,982.01 and 806.81

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Solution

The fourth proportional to 1,436.37, 1,982.01 and 806.81 is: 1,113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.37 : 1,982.01 = 806.81 : x
  2. Step 2: Convert to fraction form
    1,436.37/1,982.01 = 806.81/x
  3. Step 3: Cross multiply
    1,436.37x = 1,982.01 × 806.81
  4. Step 4: Simplify right side
    1,436.37x = 1,599,095.58
  5. Step 5: Solve for x
    x = 1,599,095.58/1,436.37
  6. Step 6: Final answer
    x = 1,113.29

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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.