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Finding the Fourth Proportional to 981.32, 1,471.10 and 396.23

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Solution

The fourth proportional to 981.32, 1,471.10 and 396.23 is: 593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.32 : 1,471.10 = 396.23 : x
  2. Step 2: Convert to fraction form
    981.32/1,471.10 = 396.23/x
  3. Step 3: Cross multiply
    981.32x = 1,471.10 × 396.23
  4. Step 4: Simplify right side
    981.32x = 582,884.62
  5. Step 5: Solve for x
    x = 582,884.62/981.32
  6. Step 6: Final answer
    x = 593.98

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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.