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Finding the Fourth Proportional to 1,252.29, 1,727.32 and 754.41

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Solution

The fourth proportional to 1,252.29, 1,727.32 and 754.41 is: 1,040.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.29 : 1,727.32 = 754.41 : x
  2. Step 2: Convert to fraction form
    1,252.29/1,727.32 = 754.41/x
  3. Step 3: Cross multiply
    1,252.29x = 1,727.32 × 754.41
  4. Step 4: Simplify right side
    1,252.29x = 1,303,107.48
  5. Step 5: Solve for x
    x = 1,303,107.48/1,252.29
  6. Step 6: Final answer
    x = 1,040.58

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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.