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Finding the Fourth Proportional to 998.25, 1,494.44 and 689.45

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Solution

The fourth proportional to 998.25, 1,494.44 and 689.45 is: 1,032.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.25 : 1,494.44 = 689.45 : x
  2. Step 2: Convert to fraction form
    998.25/1,494.44 = 689.45/x
  3. Step 3: Cross multiply
    998.25x = 1,494.44 × 689.45
  4. Step 4: Simplify right side
    998.25x = 1,030,330.74
  5. Step 5: Solve for x
    x = 1,030,330.74/998.25
  6. Step 6: Final answer
    x = 1,032.14

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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.