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Finding the Fourth Proportional to 828.26, 1,142.24 and 548.78

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Solution

The fourth proportional to 828.26, 1,142.24 and 548.78 is: 756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.26 : 1,142.24 = 548.78 : x
  2. Step 2: Convert to fraction form
    828.26/1,142.24 = 548.78/x
  3. Step 3: Cross multiply
    828.26x = 1,142.24 × 548.78
  4. Step 4: Simplify right side
    828.26x = 626,838.47
  5. Step 5: Solve for x
    x = 626,838.47/828.26
  6. Step 6: Final answer
    x = 756.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.