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Finding the Fourth Proportional to 998.76, 1,378.92 and 650.44

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Solution

The fourth proportional to 998.76, 1,378.92 and 650.44 is: 898.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.76 : 1,378.92 = 650.44 : x
  2. Step 2: Convert to fraction form
    998.76/1,378.92 = 650.44/x
  3. Step 3: Cross multiply
    998.76x = 1,378.92 × 650.44
  4. Step 4: Simplify right side
    998.76x = 896,904.72
  5. Step 5: Solve for x
    x = 896,904.72/998.76
  6. Step 6: Final answer
    x = 898.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.