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Finding the Fourth Proportional to 998.67, 1,378.58 and 644.70

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Solution

The fourth proportional to 998.67, 1,378.58 and 644.70 is: 889.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.67 : 1,378.58 = 644.70 : x
  2. Step 2: Convert to fraction form
    998.67/1,378.58 = 644.70/x
  3. Step 3: Cross multiply
    998.67x = 1,378.58 × 644.70
  4. Step 4: Simplify right side
    998.67x = 888,767.30
  5. Step 5: Solve for x
    x = 888,767.30/998.67
  6. Step 6: Final answer
    x = 889.95

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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.