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Finding the Fourth Proportional to 981.62, 1,471.77 and 543.11

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Solution

The fourth proportional to 981.62, 1,471.77 and 543.11 is: 814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.62 : 1,471.77 = 543.11 : x
  2. Step 2: Convert to fraction form
    981.62/1,471.77 = 543.11/x
  3. Step 3: Cross multiply
    981.62x = 1,471.77 × 543.11
  4. Step 4: Simplify right side
    981.62x = 799,325.65
  5. Step 5: Solve for x
    x = 799,325.65/981.62
  6. Step 6: Final answer
    x = 814.29

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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.