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Finding the Fourth Proportional to 996.41, 1,494.62 and 631.31

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Solution

The fourth proportional to 996.41, 1,494.62 and 631.31 is: 946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.41 : 1,494.62 = 631.31 : x
  2. Step 2: Convert to fraction form
    996.41/1,494.62 = 631.31/x
  3. Step 3: Cross multiply
    996.41x = 1,494.62 × 631.31
  4. Step 4: Simplify right side
    996.41x = 943,557.92
  5. Step 5: Solve for x
    x = 943,557.92/996.41
  6. Step 6: Final answer
    x = 946.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.