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Finding the Fourth Proportional to 828.68, 1,243.18 and 251.60

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Solution

The fourth proportional to 828.68, 1,243.18 and 251.60 is: 377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.68 : 1,243.18 = 251.60 : x
  2. Step 2: Convert to fraction form
    828.68/1,243.18 = 251.60/x
  3. Step 3: Cross multiply
    828.68x = 1,243.18 × 251.60
  4. Step 4: Simplify right side
    828.68x = 312,784.09
  5. Step 5: Solve for x
    x = 312,784.09/828.68
  6. Step 6: Final answer
    x = 377.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.