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Finding the Fourth Proportional to 683.10, 1,023.57 and 439.43

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Solution

The fourth proportional to 683.10, 1,023.57 and 439.43 is: 658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.10 : 1,023.57 = 439.43 : x
  2. Step 2: Convert to fraction form
    683.10/1,023.57 = 439.43/x
  3. Step 3: Cross multiply
    683.10x = 1,023.57 × 439.43
  4. Step 4: Simplify right side
    683.10x = 449,782.25
  5. Step 5: Solve for x
    x = 449,782.25/683.10
  6. Step 6: Final answer
    x = 658.44

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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.