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Finding the Fourth Proportional to 820.74, 1,231.43 and 388.26

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Solution

The fourth proportional to 820.74, 1,231.43 and 388.26 is: 582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.74 : 1,231.43 = 388.26 : x
  2. Step 2: Convert to fraction form
    820.74/1,231.43 = 388.26/x
  3. Step 3: Cross multiply
    820.74x = 1,231.43 × 388.26
  4. Step 4: Simplify right side
    820.74x = 478,115.01
  5. Step 5: Solve for x
    x = 478,115.01/820.74
  6. Step 6: Final answer
    x = 582.54

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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.