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Finding the Fourth Proportional to 3,082.28, 4,623.39 and 773.78

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Solution

The fourth proportional to 3,082.28, 4,623.39 and 773.78 is: 1,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.28 : 4,623.39 = 773.78 : x
  2. Step 2: Convert to fraction form
    3,082.28/4,623.39 = 773.78/x
  3. Step 3: Cross multiply
    3,082.28x = 4,623.39 × 773.78
  4. Step 4: Simplify right side
    3,082.28x = 3,577,486.71
  5. Step 5: Solve for x
    x = 3,577,486.71/3,082.28
  6. Step 6: Final answer
    x = 1,160.66

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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.