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Finding the Fourth Proportional to 998.93, 1,378.59 and 579.44

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Solution

The fourth proportional to 998.93, 1,378.59 and 579.44 is: 799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.93 : 1,378.59 = 579.44 : x
  2. Step 2: Convert to fraction form
    998.93/1,378.59 = 579.44/x
  3. Step 3: Cross multiply
    998.93x = 1,378.59 × 579.44
  4. Step 4: Simplify right side
    998.93x = 798,810.19
  5. Step 5: Solve for x
    x = 798,810.19/998.93
  6. Step 6: Final answer
    x = 799.67

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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.