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Finding the Fourth Proportional to 683.43, 1,024.26 and 440.02

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Solution

The fourth proportional to 683.43, 1,024.26 and 440.02 is: 659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.43 : 1,024.26 = 440.02 : x
  2. Step 2: Convert to fraction form
    683.43/1,024.26 = 440.02/x
  3. Step 3: Cross multiply
    683.43x = 1,024.26 × 440.02
  4. Step 4: Simplify right side
    683.43x = 450,694.89
  5. Step 5: Solve for x
    x = 450,694.89/683.43
  6. Step 6: Final answer
    x = 659.46

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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.