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Finding the Fourth Proportional to 1,253.41, 1,729.53 and 749.26

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Solution

The fourth proportional to 1,253.41, 1,729.53 and 749.26 is: 1,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.41 : 1,729.53 = 749.26 : x
  2. Step 2: Convert to fraction form
    1,253.41/1,729.53 = 749.26/x
  3. Step 3: Cross multiply
    1,253.41x = 1,729.53 × 749.26
  4. Step 4: Simplify right side
    1,253.41x = 1,295,867.65
  5. Step 5: Solve for x
    x = 1,295,867.65/1,253.41
  6. Step 6: Final answer
    x = 1,033.87

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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.