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Finding the Fourth Proportional to 1,082, 1,493.16 and 616.40

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Solution

The fourth proportional to 1,082, 1,493.16 and 616.40 is: 850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082 : 1,493.16 = 616.40 : x
  2. Step 2: Convert to fraction form
    1,082/1,493.16 = 616.40/x
  3. Step 3: Cross multiply
    1,082x = 1,493.16 × 616.40
  4. Step 4: Simplify right side
    1,082x = 920,383.82
  5. Step 5: Solve for x
    x = 920,383.82/1,082
  6. Step 6: Final answer
    x = 850.63

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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.