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Finding the Fourth Proportional to 1,252.70, 1,727.65 and 755.23

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Solution

The fourth proportional to 1,252.70, 1,727.65 and 755.23 is: 1,041.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.70 : 1,727.65 = 755.23 : x
  2. Step 2: Convert to fraction form
    1,252.70/1,727.65 = 755.23/x
  3. Step 3: Cross multiply
    1,252.70x = 1,727.65 × 755.23
  4. Step 4: Simplify right side
    1,252.70x = 1,304,772.97
  5. Step 5: Solve for x
    x = 1,304,772.97/1,252.70
  6. Step 6: Final answer
    x = 1,041.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.