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Finding the Fourth Proportional to 680.75, 1,021.16 and 193.83

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Solution

The fourth proportional to 680.75, 1,021.16 and 193.83 is: 290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.75 : 1,021.16 = 193.83 : x
  2. Step 2: Convert to fraction form
    680.75/1,021.16 = 193.83/x
  3. Step 3: Cross multiply
    680.75x = 1,021.16 × 193.83
  4. Step 4: Simplify right side
    680.75x = 197,930.47
  5. Step 5: Solve for x
    x = 197,930.47/680.75
  6. Step 6: Final answer
    x = 290.76

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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.