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Finding the Fourth Proportional to 682.43, 1,022.82 and 292.31

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Solution

The fourth proportional to 682.43, 1,022.82 and 292.31 is: 438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.43 : 1,022.82 = 292.31 : x
  2. Step 2: Convert to fraction form
    682.43/1,022.82 = 292.31/x
  3. Step 3: Cross multiply
    682.43x = 1,022.82 × 292.31
  4. Step 4: Simplify right side
    682.43x = 298,975.40
  5. Step 5: Solve for x
    x = 298,975.40/682.43
  6. Step 6: Final answer
    x = 438.11

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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.