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Finding the Fourth Proportional to 1,131.29, 1,696.92 and 743.73

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Solution

The fourth proportional to 1,131.29, 1,696.92 and 743.73 is: 1,115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.29 : 1,696.92 = 743.73 : x
  2. Step 2: Convert to fraction form
    1,131.29/1,696.92 = 743.73/x
  3. Step 3: Cross multiply
    1,131.29x = 1,696.92 × 743.73
  4. Step 4: Simplify right side
    1,131.29x = 1,262,050.31
  5. Step 5: Solve for x
    x = 1,262,050.31/1,131.29
  6. Step 6: Final answer
    x = 1,115.59

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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.