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Finding the Fourth Proportional to 998.06, 1,494.54 and 968.87

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Solution

The fourth proportional to 998.06, 1,494.54 and 968.87 is: 1,450.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.06 : 1,494.54 = 968.87 : x
  2. Step 2: Convert to fraction form
    998.06/1,494.54 = 968.87/x
  3. Step 3: Cross multiply
    998.06x = 1,494.54 × 968.87
  4. Step 4: Simplify right side
    998.06x = 1,448,014.97
  5. Step 5: Solve for x
    x = 1,448,014.97/998.06
  6. Step 6: Final answer
    x = 1,450.83

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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.