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Finding the Fourth Proportional to 1,082.89, 1,494.36 and 617.14

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Solution

The fourth proportional to 1,082.89, 1,494.36 and 617.14 is: 851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.89 : 1,494.36 = 617.14 : x
  2. Step 2: Convert to fraction form
    1,082.89/1,494.36 = 617.14/x
  3. Step 3: Cross multiply
    1,082.89x = 1,494.36 × 617.14
  4. Step 4: Simplify right side
    1,082.89x = 922,229.33
  5. Step 5: Solve for x
    x = 922,229.33/1,082.89
  6. Step 6: Final answer
    x = 851.64

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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.