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Finding the Fourth Proportional to 680.03, 1,020.29 and 419.73

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Solution

The fourth proportional to 680.03, 1,020.29 and 419.73 is: 629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.03 : 1,020.29 = 419.73 : x
  2. Step 2: Convert to fraction form
    680.03/1,020.29 = 419.73/x
  3. Step 3: Cross multiply
    680.03x = 1,020.29 × 419.73
  4. Step 4: Simplify right side
    680.03x = 428,241.58
  5. Step 5: Solve for x
    x = 428,241.58/680.03
  6. Step 6: Final answer
    x = 629.74

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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.