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Finding the Fourth Proportional to 998.67, 1,378.04 and 648.75

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Solution

The fourth proportional to 998.67, 1,378.04 and 648.75 is: 895.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.67 : 1,378.04 = 648.75 : x
  2. Step 2: Convert to fraction form
    998.67/1,378.04 = 648.75/x
  3. Step 3: Cross multiply
    998.67x = 1,378.04 × 648.75
  4. Step 4: Simplify right side
    998.67x = 894,000.21
  5. Step 5: Solve for x
    x = 894,000.21/998.67
  6. Step 6: Final answer
    x = 895.19

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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.