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Finding the Fourth Proportional to 1,082.44, 1,621.50 and 822.88

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Solution

The fourth proportional to 1,082.44, 1,621.50 and 822.88 is: 1,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.44 : 1,621.50 = 822.88 : x
  2. Step 2: Convert to fraction form
    1,082.44/1,621.50 = 822.88/x
  3. Step 3: Cross multiply
    1,082.44x = 1,621.50 × 822.88
  4. Step 4: Simplify right side
    1,082.44x = 1,334,299.92
  5. Step 5: Solve for x
    x = 1,334,299.92/1,082.44
  6. Step 6: Final answer
    x = 1,232.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.