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Finding the Fourth Proportional to 998.94, 1,378.74 and 667.38

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Solution

The fourth proportional to 998.94, 1,378.74 and 667.38 is: 921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.94 : 1,378.74 = 667.38 : x
  2. Step 2: Convert to fraction form
    998.94/1,378.74 = 667.38/x
  3. Step 3: Cross multiply
    998.94x = 1,378.74 × 667.38
  4. Step 4: Simplify right side
    998.94x = 920,143.50
  5. Step 5: Solve for x
    x = 920,143.50/998.94
  6. Step 6: Final answer
    x = 921.12

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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.