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Finding the Fourth Proportional to 980.96, 1,471.34 and 518.56

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Solution

The fourth proportional to 980.96, 1,471.34 and 518.56 is: 777.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.96 : 1,471.34 = 518.56 : x
  2. Step 2: Convert to fraction form
    980.96/1,471.34 = 518.56/x
  3. Step 3: Cross multiply
    980.96x = 1,471.34 × 518.56
  4. Step 4: Simplify right side
    980.96x = 762,978.07
  5. Step 5: Solve for x
    x = 762,978.07/980.96
  6. Step 6: Final answer
    x = 777.79

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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.