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Finding the Fourth Proportional to 998.25, 1,376.91 and 667.25

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Solution

The fourth proportional to 998.25, 1,376.91 and 667.25 is: 920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.25 : 1,376.91 = 667.25 : x
  2. Step 2: Convert to fraction form
    998.25/1,376.91 = 667.25/x
  3. Step 3: Cross multiply
    998.25x = 1,376.91 × 667.25
  4. Step 4: Simplify right side
    998.25x = 918,736.31
  5. Step 5: Solve for x
    x = 918,736.31/998.25
  6. Step 6: Final answer
    x = 920.35

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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.