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Finding the Fourth Proportional to 3,183.28, 4,774.74 and 843.24

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Solution

The fourth proportional to 3,183.28, 4,774.74 and 843.24 is: 1,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.28 : 4,774.74 = 843.24 : x
  2. Step 2: Convert to fraction form
    3,183.28/4,774.74 = 843.24/x
  3. Step 3: Cross multiply
    3,183.28x = 4,774.74 × 843.24
  4. Step 4: Simplify right side
    3,183.28x = 4,026,251.76
  5. Step 5: Solve for x
    x = 4,026,251.76/3,183.28
  6. Step 6: Final answer
    x = 1,264.81

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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.