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Finding the Fourth Proportional to 1,727.35, 2,589.55 and 752.73

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Solution

The fourth proportional to 1,727.35, 2,589.55 and 752.73 is: 1,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.35 : 2,589.55 = 752.73 : x
  2. Step 2: Convert to fraction form
    1,727.35/2,589.55 = 752.73/x
  3. Step 3: Cross multiply
    1,727.35x = 2,589.55 × 752.73
  4. Step 4: Simplify right side
    1,727.35x = 1,949,231.97
  5. Step 5: Solve for x
    x = 1,949,231.97/1,727.35
  6. Step 6: Final answer
    x = 1,128.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.