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Finding the Fourth Proportional to 828.29, 1,142.13 and 651.27

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Solution

The fourth proportional to 828.29, 1,142.13 and 651.27 is: 898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.29 : 1,142.13 = 651.27 : x
  2. Step 2: Convert to fraction form
    828.29/1,142.13 = 651.27/x
  3. Step 3: Cross multiply
    828.29x = 1,142.13 × 651.27
  4. Step 4: Simplify right side
    828.29x = 743,841.73
  5. Step 5: Solve for x
    x = 743,841.73/828.29
  6. Step 6: Final answer
    x = 898.04

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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.