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Finding the Fourth Proportional to 1,250.75, 1,726.04 and 727.09

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Solution

The fourth proportional to 1,250.75, 1,726.04 and 727.09 is: 1,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.75 : 1,726.04 = 727.09 : x
  2. Step 2: Convert to fraction form
    1,250.75/1,726.04 = 727.09/x
  3. Step 3: Cross multiply
    1,250.75x = 1,726.04 × 727.09
  4. Step 4: Simplify right side
    1,250.75x = 1,254,986.42
  5. Step 5: Solve for x
    x = 1,254,986.42/1,250.75
  6. Step 6: Final answer
    x = 1,003.39

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1.5x scale

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.