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Finding the Fourth Proportional to 998.37, 1,377.77 and 578.68

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Solution

The fourth proportional to 998.37, 1,377.77 and 578.68 is: 798.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.37 : 1,377.77 = 578.68 : x
  2. Step 2: Convert to fraction form
    998.37/1,377.77 = 578.68/x
  3. Step 3: Cross multiply
    998.37x = 1,377.77 × 578.68
  4. Step 4: Simplify right side
    998.37x = 797,287.94
  5. Step 5: Solve for x
    x = 797,287.94/998.37
  6. Step 6: Final answer
    x = 798.59

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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.