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Finding the Fourth Proportional to 682.86, 1,024.67 and 298.11

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Solution

The fourth proportional to 682.86, 1,024.67 and 298.11 is: 447.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.86 : 1,024.67 = 298.11 : x
  2. Step 2: Convert to fraction form
    682.86/1,024.67 = 298.11/x
  3. Step 3: Cross multiply
    682.86x = 1,024.67 × 298.11
  4. Step 4: Simplify right side
    682.86x = 305,464.37
  5. Step 5: Solve for x
    x = 305,464.37/682.86
  6. Step 6: Final answer
    x = 447.33

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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.