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Finding the Fourth Proportional to 682.02, 1,022.33 and 408.24

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Solution

The fourth proportional to 682.02, 1,022.33 and 408.24 is: 611.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.02 : 1,022.33 = 408.24 : x
  2. Step 2: Convert to fraction form
    682.02/1,022.33 = 408.24/x
  3. Step 3: Cross multiply
    682.02x = 1,022.33 × 408.24
  4. Step 4: Simplify right side
    682.02x = 417,357.02
  5. Step 5: Solve for x
    x = 417,357.02/682.02
  6. Step 6: Final answer
    x = 611.94

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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.