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Finding the Fourth Proportional to 996.51, 1,493.51 and 631.40

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Solution

The fourth proportional to 996.51, 1,493.51 and 631.40 is: 946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.51 : 1,493.51 = 631.40 : x
  2. Step 2: Convert to fraction form
    996.51/1,493.51 = 631.40/x
  3. Step 3: Cross multiply
    996.51x = 1,493.51 × 631.40
  4. Step 4: Simplify right side
    996.51x = 943,002.21
  5. Step 5: Solve for x
    x = 943,002.21/996.51
  6. Step 6: Final answer
    x = 946.30

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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.