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Finding the Fourth Proportional to 682.73, 1,023.38 and 463.37

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Solution

The fourth proportional to 682.73, 1,023.38 and 463.37 is: 694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.73 : 1,023.38 = 463.37 : x
  2. Step 2: Convert to fraction form
    682.73/1,023.38 = 463.37/x
  3. Step 3: Cross multiply
    682.73x = 1,023.38 × 463.37
  4. Step 4: Simplify right side
    682.73x = 474,202.43
  5. Step 5: Solve for x
    x = 474,202.43/682.73
  6. Step 6: Final answer
    x = 694.57

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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.