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Finding the Fourth Proportional to 980.74, 1,471.11 and 355.98

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Solution

The fourth proportional to 980.74, 1,471.11 and 355.98 is: 533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.74 : 1,471.11 = 355.98 : x
  2. Step 2: Convert to fraction form
    980.74/1,471.11 = 355.98/x
  3. Step 3: Cross multiply
    980.74x = 1,471.11 × 355.98
  4. Step 4: Simplify right side
    980.74x = 523,685.74
  5. Step 5: Solve for x
    x = 523,685.74/980.74
  6. Step 6: Final answer
    x = 533.97

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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.