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Finding the Fourth Proportional to 998.84, 1,378.55 and 579.21

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Solution

The fourth proportional to 998.84, 1,378.55 and 579.21 is: 799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.84 : 1,378.55 = 579.21 : x
  2. Step 2: Convert to fraction form
    998.84/1,378.55 = 579.21/x
  3. Step 3: Cross multiply
    998.84x = 1,378.55 × 579.21
  4. Step 4: Simplify right side
    998.84x = 798,467.05
  5. Step 5: Solve for x
    x = 798,467.05/998.84
  6. Step 6: Final answer
    x = 799.40

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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.