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Finding the Fourth Proportional to 998.41, 1,377.75 and 762.52

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Solution

The fourth proportional to 998.41, 1,377.75 and 762.52 is: 1,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.41 : 1,377.75 = 762.52 : x
  2. Step 2: Convert to fraction form
    998.41/1,377.75 = 762.52/x
  3. Step 3: Cross multiply
    998.41x = 1,377.75 × 762.52
  4. Step 4: Simplify right side
    998.41x = 1,050,561.93
  5. Step 5: Solve for x
    x = 1,050,561.93/998.41
  6. Step 6: Final answer
    x = 1,052.23

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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.