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Finding the Fourth Proportional to 682.32, 1,022.41 and 408.07

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Solution

The fourth proportional to 682.32, 1,022.41 and 408.07 is: 611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.32 : 1,022.41 = 408.07 : x
  2. Step 2: Convert to fraction form
    682.32/1,022.41 = 408.07/x
  3. Step 3: Cross multiply
    682.32x = 1,022.41 × 408.07
  4. Step 4: Simplify right side
    682.32x = 417,214.34
  5. Step 5: Solve for x
    x = 417,214.34/682.32
  6. Step 6: Final answer
    x = 611.46

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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.