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Finding the Fourth Proportional to 1,229.69, 1,696.23 and 787.43

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Solution

The fourth proportional to 1,229.69, 1,696.23 and 787.43 is: 1,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.69 : 1,696.23 = 787.43 : x
  2. Step 2: Convert to fraction form
    1,229.69/1,696.23 = 787.43/x
  3. Step 3: Cross multiply
    1,229.69x = 1,696.23 × 787.43
  4. Step 4: Simplify right side
    1,229.69x = 1,335,662.39
  5. Step 5: Solve for x
    x = 1,335,662.39/1,229.69
  6. Step 6: Final answer
    x = 1,086.18

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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.