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Finding the Fourth Proportional to 683.72, 1,024.67 and 423.41

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Solution

The fourth proportional to 683.72, 1,024.67 and 423.41 is: 634.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.72 : 1,024.67 = 423.41 : x
  2. Step 2: Convert to fraction form
    683.72/1,024.67 = 423.41/x
  3. Step 3: Cross multiply
    683.72x = 1,024.67 × 423.41
  4. Step 4: Simplify right side
    683.72x = 433,855.52
  5. Step 5: Solve for x
    x = 433,855.52/683.72
  6. Step 6: Final answer
    x = 634.55

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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.