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Finding the Fourth Proportional to 998.53, 1,377.74 and 679.59

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Solution

The fourth proportional to 998.53, 1,377.74 and 679.59 is: 937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.53 : 1,377.74 = 679.59 : x
  2. Step 2: Convert to fraction form
    998.53/1,377.74 = 679.59/x
  3. Step 3: Cross multiply
    998.53x = 1,377.74 × 679.59
  4. Step 4: Simplify right side
    998.53x = 936,300.03
  5. Step 5: Solve for x
    x = 936,300.03/998.53
  6. Step 6: Final answer
    x = 937.68

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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.