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Finding the Fourth Proportional to 998.82, 1,378.23 and 556.59

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Solution

The fourth proportional to 998.82, 1,378.23 and 556.59 is: 768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.82 : 1,378.23 = 556.59 : x
  2. Step 2: Convert to fraction form
    998.82/1,378.23 = 556.59/x
  3. Step 3: Cross multiply
    998.82x = 1,378.23 × 556.59
  4. Step 4: Simplify right side
    998.82x = 767,109.04
  5. Step 5: Solve for x
    x = 767,109.04/998.82
  6. Step 6: Final answer
    x = 768.02

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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.