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Finding the Fourth Proportional to 981.04, 1,471.80 and 548.56

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Solution

The fourth proportional to 981.04, 1,471.80 and 548.56 is: 822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.04 : 1,471.80 = 548.56 : x
  2. Step 2: Convert to fraction form
    981.04/1,471.80 = 548.56/x
  3. Step 3: Cross multiply
    981.04x = 1,471.80 × 548.56
  4. Step 4: Simplify right side
    981.04x = 807,370.61
  5. Step 5: Solve for x
    x = 807,370.61/981.04
  6. Step 6: Final answer
    x = 822.97

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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.