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Finding the Fourth Proportional to 680.69, 1,021.16 and 218.43

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Solution

The fourth proportional to 680.69, 1,021.16 and 218.43 is: 327.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.69 : 1,021.16 = 218.43 : x
  2. Step 2: Convert to fraction form
    680.69/1,021.16 = 218.43/x
  3. Step 3: Cross multiply
    680.69x = 1,021.16 × 218.43
  4. Step 4: Simplify right side
    680.69x = 223,051.98
  5. Step 5: Solve for x
    x = 223,051.98/680.69
  6. Step 6: Final answer
    x = 327.69

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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.