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Finding the Fourth Proportional to 1,082.40, 1,493.76 and 616.64

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Solution

The fourth proportional to 1,082.40, 1,493.76 and 616.64 is: 850.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.40 : 1,493.76 = 616.64 : x
  2. Step 2: Convert to fraction form
    1,082.40/1,493.76 = 616.64/x
  3. Step 3: Cross multiply
    1,082.40x = 1,493.76 × 616.64
  4. Step 4: Simplify right side
    1,082.40x = 921,112.17
  5. Step 5: Solve for x
    x = 921,112.17/1,082.40
  6. Step 6: Final answer
    x = 850.99

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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.