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Finding the Fourth Proportional to 998.69, 1,378.26 and 579.15

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Solution

The fourth proportional to 998.69, 1,378.26 and 579.15 is: 799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.69 : 1,378.26 = 579.15 : x
  2. Step 2: Convert to fraction form
    998.69/1,378.26 = 579.15/x
  3. Step 3: Cross multiply
    998.69x = 1,378.26 × 579.15
  4. Step 4: Simplify right side
    998.69x = 798,219.28
  5. Step 5: Solve for x
    x = 798,219.28/998.69
  6. Step 6: Final answer
    x = 799.27

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Why These Related Problems?

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