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Finding the Fourth Proportional to 1,082.83, 1,494.28 and 610.73

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Solution

The fourth proportional to 1,082.83, 1,494.28 and 610.73 is: 842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.83 : 1,494.28 = 610.73 : x
  2. Step 2: Convert to fraction form
    1,082.83/1,494.28 = 610.73/x
  3. Step 3: Cross multiply
    1,082.83x = 1,494.28 × 610.73
  4. Step 4: Simplify right side
    1,082.83x = 912,598.57
  5. Step 5: Solve for x
    x = 912,598.57/1,082.83
  6. Step 6: Final answer
    x = 842.79

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