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Finding the Fourth Proportional to 1,286.57, 1,775.54 and 727.03

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Solution

The fourth proportional to 1,286.57, 1,775.54 and 727.03 is: 1,003.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.57 : 1,775.54 = 727.03 : x
  2. Step 2: Convert to fraction form
    1,286.57/1,775.54 = 727.03/x
  3. Step 3: Cross multiply
    1,286.57x = 1,775.54 × 727.03
  4. Step 4: Simplify right side
    1,286.57x = 1,290,867.37
  5. Step 5: Solve for x
    x = 1,290,867.37/1,286.57
  6. Step 6: Final answer
    x = 1,003.34

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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.