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Finding the Fourth Proportional to 682.91, 1,024.50 and 214.37

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Solution

The fourth proportional to 682.91, 1,024.50 and 214.37 is: 321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.91 : 1,024.50 = 214.37 : x
  2. Step 2: Convert to fraction form
    682.91/1,024.50 = 214.37/x
  3. Step 3: Cross multiply
    682.91x = 1,024.50 × 214.37
  4. Step 4: Simplify right side
    682.91x = 219,616.94
  5. Step 5: Solve for x
    x = 219,616.94/682.91
  6. Step 6: Final answer
    x = 321.59

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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.