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Finding the Fourth Proportional to 820.78, 1,231.17 and 307.78

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Solution

The fourth proportional to 820.78, 1,231.17 and 307.78 is: 461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.78 : 1,231.17 = 307.78 : x
  2. Step 2: Convert to fraction form
    820.78/1,231.17 = 307.78/x
  3. Step 3: Cross multiply
    820.78x = 1,231.17 × 307.78
  4. Step 4: Simplify right side
    820.78x = 378,929.50
  5. Step 5: Solve for x
    x = 378,929.50/820.78
  6. Step 6: Final answer
    x = 461.67

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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.