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Finding the Fourth Proportional to 682.80, 1,023.63 and 298.32

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Solution

The fourth proportional to 682.80, 1,023.63 and 298.32 is: 447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.80 : 1,023.63 = 298.32 : x
  2. Step 2: Convert to fraction form
    682.80/1,023.63 = 298.32/x
  3. Step 3: Cross multiply
    682.80x = 1,023.63 × 298.32
  4. Step 4: Simplify right side
    682.80x = 305,369.30
  5. Step 5: Solve for x
    x = 305,369.30/682.80
  6. Step 6: Final answer
    x = 447.23

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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.