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Finding the Fourth Proportional to 1,082.96, 1,621.38 and 980.44

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Solution

The fourth proportional to 1,082.96, 1,621.38 and 980.44 is: 1,467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.96 : 1,621.38 = 980.44 : x
  2. Step 2: Convert to fraction form
    1,082.96/1,621.38 = 980.44/x
  3. Step 3: Cross multiply
    1,082.96x = 1,621.38 × 980.44
  4. Step 4: Simplify right side
    1,082.96x = 1,589,665.81
  5. Step 5: Solve for x
    x = 1,589,665.81/1,082.96
  6. Step 6: Final answer
    x = 1,467.89

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