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Finding the Fourth Proportional to 828.52, 1,143.46 and 517.96

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Solution

The fourth proportional to 828.52, 1,143.46 and 517.96 is: 714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.52 : 1,143.46 = 517.96 : x
  2. Step 2: Convert to fraction form
    828.52/1,143.46 = 517.96/x
  3. Step 3: Cross multiply
    828.52x = 1,143.46 × 517.96
  4. Step 4: Simplify right side
    828.52x = 592,266.54
  5. Step 5: Solve for x
    x = 592,266.54/828.52
  6. Step 6: Final answer
    x = 714.85

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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.