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Finding the Fourth Proportional to 683.49, 1,024.72 and 220.99

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Solution

The fourth proportional to 683.49, 1,024.72 and 220.99 is: 331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.49 : 1,024.72 = 220.99 : x
  2. Step 2: Convert to fraction form
    683.49/1,024.72 = 220.99/x
  3. Step 3: Cross multiply
    683.49x = 1,024.72 × 220.99
  4. Step 4: Simplify right side
    683.49x = 226,452.87
  5. Step 5: Solve for x
    x = 226,452.87/683.49
  6. Step 6: Final answer
    x = 331.32

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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.