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Finding the Fourth Proportional to 828.99, 1,243.48 and 251.87

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Solution

The fourth proportional to 828.99, 1,243.48 and 251.87 is: 377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.99 : 1,243.48 = 251.87 : x
  2. Step 2: Convert to fraction form
    828.99/1,243.48 = 251.87/x
  3. Step 3: Cross multiply
    828.99x = 1,243.48 × 251.87
  4. Step 4: Simplify right side
    828.99x = 313,188.93
  5. Step 5: Solve for x
    x = 313,188.93/828.99
  6. Step 6: Final answer
    x = 377.80

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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.