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Finding the Fourth Proportional to 998.64, 1,378.22 and 832.56

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Solution

The fourth proportional to 998.64, 1,378.22 and 832.56 is: 1,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.64 : 1,378.22 = 832.56 : x
  2. Step 2: Convert to fraction form
    998.64/1,378.22 = 832.56/x
  3. Step 3: Cross multiply
    998.64x = 1,378.22 × 832.56
  4. Step 4: Simplify right side
    998.64x = 1,147,450.84
  5. Step 5: Solve for x
    x = 1,147,450.84/998.64
  6. Step 6: Final answer
    x = 1,149.01

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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.