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Finding the Fourth Proportional to 1,250.94, 1,726.20 and 727.01

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Solution

The fourth proportional to 1,250.94, 1,726.20 and 727.01 is: 1,003.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.94 : 1,726.20 = 727.01 : x
  2. Step 2: Convert to fraction form
    1,250.94/1,726.20 = 727.01/x
  3. Step 3: Cross multiply
    1,250.94x = 1,726.20 × 727.01
  4. Step 4: Simplify right side
    1,250.94x = 1,254,964.66
  5. Step 5: Solve for x
    x = 1,254,964.66/1,250.94
  6. Step 6: Final answer
    x = 1,003.22

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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.