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Finding the Fourth Proportional to 828.52, 1,242.64 and 251.24

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Solution

The fourth proportional to 828.52, 1,242.64 and 251.24 is: 376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.52 : 1,242.64 = 251.24 : x
  2. Step 2: Convert to fraction form
    828.52/1,242.64 = 251.24/x
  3. Step 3: Cross multiply
    828.52x = 1,242.64 × 251.24
  4. Step 4: Simplify right side
    828.52x = 312,200.87
  5. Step 5: Solve for x
    x = 312,200.87/828.52
  6. Step 6: Final answer
    x = 376.82

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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.