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Finding the Fourth Proportional to 1,082.49, 1,619.67 and 642.13

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Solution

The fourth proportional to 1,082.49, 1,619.67 and 642.13 is: 960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.49 : 1,619.67 = 642.13 : x
  2. Step 2: Convert to fraction form
    1,082.49/1,619.67 = 642.13/x
  3. Step 3: Cross multiply
    1,082.49x = 1,619.67 × 642.13
  4. Step 4: Simplify right side
    1,082.49x = 1,040,035.25
  5. Step 5: Solve for x
    x = 1,040,035.25/1,082.49
  6. Step 6: Final answer
    x = 960.78

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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.