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Finding the Fourth Proportional to 998.74, 1,378.44 and 579.03

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Solution

The fourth proportional to 998.74, 1,378.44 and 579.03 is: 799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.74 : 1,378.44 = 579.03 : x
  2. Step 2: Convert to fraction form
    998.74/1,378.44 = 579.03/x
  3. Step 3: Cross multiply
    998.74x = 1,378.44 × 579.03
  4. Step 4: Simplify right side
    998.74x = 798,158.11
  5. Step 5: Solve for x
    x = 798,158.11/998.74
  6. Step 6: Final answer
    x = 799.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.