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Finding the Fourth Proportional to 1,747.22, 2,621.68 and 773.42

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Solution

The fourth proportional to 1,747.22, 2,621.68 and 773.42 is: 1,160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.22 : 2,621.68 = 773.42 : x
  2. Step 2: Convert to fraction form
    1,747.22/2,621.68 = 773.42/x
  3. Step 3: Cross multiply
    1,747.22x = 2,621.68 × 773.42
  4. Step 4: Simplify right side
    1,747.22x = 2,027,659.75
  5. Step 5: Solve for x
    x = 2,027,659.75/1,747.22
  6. Step 6: Final answer
    x = 1,160.51

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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.