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Finding the Fourth Proportional to 1,250.37, 1,725.44 and 726.30

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Solution

The fourth proportional to 1,250.37, 1,725.44 and 726.30 is: 1,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.37 : 1,725.44 = 726.30 : x
  2. Step 2: Convert to fraction form
    1,250.37/1,725.44 = 726.30/x
  3. Step 3: Cross multiply
    1,250.37x = 1,725.44 × 726.30
  4. Step 4: Simplify right side
    1,250.37x = 1,253,183.44
  5. Step 5: Solve for x
    x = 1,253,183.44/1,250.37
  6. Step 6: Final answer
    x = 1,002.25

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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.