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Finding the Fourth Proportional to 998.13, 1,376.91 and 578.46

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Solution

The fourth proportional to 998.13, 1,376.91 and 578.46 is: 797.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.13 : 1,376.91 = 578.46 : x
  2. Step 2: Convert to fraction form
    998.13/1,376.91 = 578.46/x
  3. Step 3: Cross multiply
    998.13x = 1,376.91 × 578.46
  4. Step 4: Simplify right side
    998.13x = 796,487.36
  5. Step 5: Solve for x
    x = 796,487.36/998.13
  6. Step 6: Final answer
    x = 797.98

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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.