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Finding the Fourth Proportional to 1,082.92, 1,494.39 and 610.84

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Solution

The fourth proportional to 1,082.92, 1,494.39 and 610.84 is: 842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.92 : 1,494.39 = 610.84 : x
  2. Step 2: Convert to fraction form
    1,082.92/1,494.39 = 610.84/x
  3. Step 3: Cross multiply
    1,082.92x = 1,494.39 × 610.84
  4. Step 4: Simplify right side
    1,082.92x = 912,837.35
  5. Step 5: Solve for x
    x = 912,837.35/1,082.92
  6. Step 6: Final answer
    x = 842.94

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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.