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Finding the Fourth Proportional to 1,250.70, 1,725.92 and 726.70

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Solution

The fourth proportional to 1,250.70, 1,725.92 and 726.70 is: 1,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.70 : 1,725.92 = 726.70 : x
  2. Step 2: Convert to fraction form
    1,250.70/1,725.92 = 726.70/x
  3. Step 3: Cross multiply
    1,250.70x = 1,725.92 × 726.70
  4. Step 4: Simplify right side
    1,250.70x = 1,254,226.06
  5. Step 5: Solve for x
    x = 1,254,226.06/1,250.70
  6. Step 6: Final answer
    x = 1,002.82

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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.