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Finding the Fourth Proportional to 682.83, 1,023.22 and 422.12

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Solution

The fourth proportional to 682.83, 1,023.22 and 422.12 is: 632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.83 : 1,023.22 = 422.12 : x
  2. Step 2: Convert to fraction form
    682.83/1,023.22 = 422.12/x
  3. Step 3: Cross multiply
    682.83x = 1,023.22 × 422.12
  4. Step 4: Simplify right side
    682.83x = 431,921.63
  5. Step 5: Solve for x
    x = 431,921.63/682.83
  6. Step 6: Final answer
    x = 632.55

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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.