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Finding the Fourth Proportional to 828.11, 1,142.56 and 513.23

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Solution

The fourth proportional to 828.11, 1,142.56 and 513.23 is: 708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.11 : 1,142.56 = 513.23 : x
  2. Step 2: Convert to fraction form
    828.11/1,142.56 = 513.23/x
  3. Step 3: Cross multiply
    828.11x = 1,142.56 × 513.23
  4. Step 4: Simplify right side
    828.11x = 586,396.07
  5. Step 5: Solve for x
    x = 586,396.07/828.11
  6. Step 6: Final answer
    x = 708.11

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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.