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Finding the Fourth Proportional to 683.25, 1,024.97 and 220.88

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Solution

The fourth proportional to 683.25, 1,024.97 and 220.88 is: 331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.25 : 1,024.97 = 220.88 : x
  2. Step 2: Convert to fraction form
    683.25/1,024.97 = 220.88/x
  3. Step 3: Cross multiply
    683.25x = 1,024.97 × 220.88
  4. Step 4: Simplify right side
    683.25x = 226,389.14
  5. Step 5: Solve for x
    x = 226,389.14/683.25
  6. Step 6: Final answer
    x = 331.34

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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.