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Finding the Fourth Proportional to 820.60, 1,231.12 and 409.62

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Solution

The fourth proportional to 820.60, 1,231.12 and 409.62 is: 614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.60 : 1,231.12 = 409.62 : x
  2. Step 2: Convert to fraction form
    820.60/1,231.12 = 409.62/x
  3. Step 3: Cross multiply
    820.60x = 1,231.12 × 409.62
  4. Step 4: Simplify right side
    820.60x = 504,291.37
  5. Step 5: Solve for x
    x = 504,291.37/820.60
  6. Step 6: Final answer
    x = 614.54

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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.