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Finding the Fourth Proportional to 1,052.49, 1,578.29 and 809.19

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Solution

The fourth proportional to 1,052.49, 1,578.29 and 809.19 is: 1,213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.49 : 1,578.29 = 809.19 : x
  2. Step 2: Convert to fraction form
    1,052.49/1,578.29 = 809.19/x
  3. Step 3: Cross multiply
    1,052.49x = 1,578.29 × 809.19
  4. Step 4: Simplify right side
    1,052.49x = 1,277,132.44
  5. Step 5: Solve for x
    x = 1,277,132.44/1,052.49
  6. Step 6: Final answer
    x = 1,213.43

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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.