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Finding the Fourth Proportional to 1,168.71, 1,612.40 and 819.87

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Solution

The fourth proportional to 1,168.71, 1,612.40 and 819.87 is: 1,131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.71 : 1,612.40 = 819.87 : x
  2. Step 2: Convert to fraction form
    1,168.71/1,612.40 = 819.87/x
  3. Step 3: Cross multiply
    1,168.71x = 1,612.40 × 819.87
  4. Step 4: Simplify right side
    1,168.71x = 1,321,954.29
  5. Step 5: Solve for x
    x = 1,321,954.29/1,168.71
  6. Step 6: Final answer
    x = 1,131.12

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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.