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Finding the Fourth Proportional to 828.63, 1,143.27 and 513.81

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Solution

The fourth proportional to 828.63, 1,143.27 and 513.81 is: 708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.63 : 1,143.27 = 513.81 : x
  2. Step 2: Convert to fraction form
    828.63/1,143.27 = 513.81/x
  3. Step 3: Cross multiply
    828.63x = 1,143.27 × 513.81
  4. Step 4: Simplify right side
    828.63x = 587,423.56
  5. Step 5: Solve for x
    x = 587,423.56/828.63
  6. Step 6: Final answer
    x = 708.91

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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.