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Finding the Fourth Proportional to 682.32, 1,023.81 and 465.46

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Solution

The fourth proportional to 682.32, 1,023.81 and 465.46 is: 698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.32 : 1,023.81 = 465.46 : x
  2. Step 2: Convert to fraction form
    682.32/1,023.81 = 465.46/x
  3. Step 3: Cross multiply
    682.32x = 1,023.81 × 465.46
  4. Step 4: Simplify right side
    682.32x = 476,542.60
  5. Step 5: Solve for x
    x = 476,542.60/682.32
  6. Step 6: Final answer
    x = 698.42

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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.