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Finding the Fourth Proportional to 996.12, 1,374.69 and 622.82

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Solution

The fourth proportional to 996.12, 1,374.69 and 622.82 is: 859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.12 : 1,374.69 = 622.82 : x
  2. Step 2: Convert to fraction form
    996.12/1,374.69 = 622.82/x
  3. Step 3: Cross multiply
    996.12x = 1,374.69 × 622.82
  4. Step 4: Simplify right side
    996.12x = 856,177.55
  5. Step 5: Solve for x
    x = 856,177.55/996.12
  6. Step 6: Final answer
    x = 859.51

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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.