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Finding the Fourth Proportional to 828.43, 1,143.26 and 455.44

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Solution

The fourth proportional to 828.43, 1,143.26 and 455.44 is: 628.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.43 : 1,143.26 = 455.44 : x
  2. Step 2: Convert to fraction form
    828.43/1,143.26 = 455.44/x
  3. Step 3: Cross multiply
    828.43x = 1,143.26 × 455.44
  4. Step 4: Simplify right side
    828.43x = 520,686.33
  5. Step 5: Solve for x
    x = 520,686.33/828.43
  6. Step 6: Final answer
    x = 628.52

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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.