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Finding the Fourth Proportional to 996.43, 1,374.73 and 582.43

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Solution

The fourth proportional to 996.43, 1,374.73 and 582.43 is: 803.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.43 : 1,374.73 = 582.43 : x
  2. Step 2: Convert to fraction form
    996.43/1,374.73 = 582.43/x
  3. Step 3: Cross multiply
    996.43x = 1,374.73 × 582.43
  4. Step 4: Simplify right side
    996.43x = 800,683.99
  5. Step 5: Solve for x
    x = 800,683.99/996.43
  6. Step 6: Final answer
    x = 803.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.