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Finding the Fourth Proportional to 981.26, 1,471.17 and 547.82

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Solution

The fourth proportional to 981.26, 1,471.17 and 547.82 is: 821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.26 : 1,471.17 = 547.82 : x
  2. Step 2: Convert to fraction form
    981.26/1,471.17 = 547.82/x
  3. Step 3: Cross multiply
    981.26x = 1,471.17 × 547.82
  4. Step 4: Simplify right side
    981.26x = 805,936.35
  5. Step 5: Solve for x
    x = 805,936.35/981.26
  6. Step 6: Final answer
    x = 821.33

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Why These Related Problems?

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