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Finding the Fourth Proportional to 828.08, 1,142.87 and 513.39

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Solution

The fourth proportional to 828.08, 1,142.87 and 513.39 is: 708.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.08 : 1,142.87 = 513.39 : x
  2. Step 2: Convert to fraction form
    828.08/1,142.87 = 513.39/x
  3. Step 3: Cross multiply
    828.08x = 1,142.87 × 513.39
  4. Step 4: Simplify right side
    828.08x = 586,738.03
  5. Step 5: Solve for x
    x = 586,738.03/828.08
  6. Step 6: Final answer
    x = 708.55

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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.