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Finding the Fourth Proportional to 828.78, 1,144.12 and 534.56

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Solution

The fourth proportional to 828.78, 1,144.12 and 534.56 is: 737.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.78 : 1,144.12 = 534.56 : x
  2. Step 2: Convert to fraction form
    828.78/1,144.12 = 534.56/x
  3. Step 3: Cross multiply
    828.78x = 1,144.12 × 534.56
  4. Step 4: Simplify right side
    828.78x = 611,600.79
  5. Step 5: Solve for x
    x = 611,600.79/828.78
  6. Step 6: Final answer
    x = 737.95

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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.