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Finding the Fourth Proportional to 981.04, 1,472.10 and 547.96

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Solution

The fourth proportional to 981.04, 1,472.10 and 547.96 is: 822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.04 : 1,472.10 = 547.96 : x
  2. Step 2: Convert to fraction form
    981.04/1,472.10 = 547.96/x
  3. Step 3: Cross multiply
    981.04x = 1,472.10 × 547.96
  4. Step 4: Simplify right side
    981.04x = 806,651.92
  5. Step 5: Solve for x
    x = 806,651.92/981.04
  6. Step 6: Final answer
    x = 822.24

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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.