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Finding the Fourth Proportional to 996.28, 1,494.42 and 631.18

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Solution

The fourth proportional to 996.28, 1,494.42 and 631.18 is: 946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.28 : 1,494.42 = 631.18 : x
  2. Step 2: Convert to fraction form
    996.28/1,494.42 = 631.18/x
  3. Step 3: Cross multiply
    996.28x = 1,494.42 × 631.18
  4. Step 4: Simplify right side
    996.28x = 943,248.02
  5. Step 5: Solve for x
    x = 943,248.02/996.28
  6. Step 6: Final answer
    x = 946.77

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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.