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Finding the Fourth Proportional to 998.75, 1,498.52 and 374.44

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Solution

The fourth proportional to 998.75, 1,498.52 and 374.44 is: 561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.75 : 1,498.52 = 374.44 : x
  2. Step 2: Convert to fraction form
    998.75/1,498.52 = 374.44/x
  3. Step 3: Cross multiply
    998.75x = 1,498.52 × 374.44
  4. Step 4: Simplify right side
    998.75x = 561,105.83
  5. Step 5: Solve for x
    x = 561,105.83/998.75
  6. Step 6: Final answer
    x = 561.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.