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Finding the Fourth Proportional to 1,791.31, 2,685.43 and 696.46

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Solution

The fourth proportional to 1,791.31, 2,685.43 and 696.46 is: 1,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.31 : 2,685.43 = 696.46 : x
  2. Step 2: Convert to fraction form
    1,791.31/2,685.43 = 696.46/x
  3. Step 3: Cross multiply
    1,791.31x = 2,685.43 × 696.46
  4. Step 4: Simplify right side
    1,791.31x = 1,870,294.58
  5. Step 5: Solve for x
    x = 1,870,294.58/1,791.31
  6. Step 6: Final answer
    x = 1,044.09

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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.