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Finding the Fourth Proportional to 1,082.70, 1,493.87 and 640.71

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Solution

The fourth proportional to 1,082.70, 1,493.87 and 640.71 is: 884.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.70 : 1,493.87 = 640.71 : x
  2. Step 2: Convert to fraction form
    1,082.70/1,493.87 = 640.71/x
  3. Step 3: Cross multiply
    1,082.70x = 1,493.87 × 640.71
  4. Step 4: Simplify right side
    1,082.70x = 957,134.24
  5. Step 5: Solve for x
    x = 957,134.24/1,082.70
  6. Step 6: Final answer
    x = 884.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.