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Finding the Fourth Proportional to 682.53, 1,023.58 and 220.21

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Solution

The fourth proportional to 682.53, 1,023.58 and 220.21 is: 330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.53 : 1,023.58 = 220.21 : x
  2. Step 2: Convert to fraction form
    682.53/1,023.58 = 220.21/x
  3. Step 3: Cross multiply
    682.53x = 1,023.58 × 220.21
  4. Step 4: Simplify right side
    682.53x = 225,406.03
  5. Step 5: Solve for x
    x = 225,406.03/682.53
  6. Step 6: Final answer
    x = 330.25

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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.