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Finding the Fourth Proportional to 998.75, 1,487.25 and 987.83

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Solution

The fourth proportional to 998.75, 1,487.25 and 987.83 is: 1,470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.75 : 1,487.25 = 987.83 : x
  2. Step 2: Convert to fraction form
    998.75/1,487.25 = 987.83/x
  3. Step 3: Cross multiply
    998.75x = 1,487.25 × 987.83
  4. Step 4: Simplify right side
    998.75x = 1,469,150.18
  5. Step 5: Solve for x
    x = 1,469,150.18/998.75
  6. Step 6: Final answer
    x = 1,470.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.