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Finding the Fourth Proportional to 3,082.14, 4,623.17 and 773.64

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Solution

The fourth proportional to 3,082.14, 4,623.17 and 773.64 is: 1,160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.14 : 4,623.17 = 773.64 : x
  2. Step 2: Convert to fraction form
    3,082.14/4,623.17 = 773.64/x
  3. Step 3: Cross multiply
    3,082.14x = 4,623.17 × 773.64
  4. Step 4: Simplify right side
    3,082.14x = 3,576,669.24
  5. Step 5: Solve for x
    x = 3,576,669.24/3,082.14
  6. Step 6: Final answer
    x = 1,160.45

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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.