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Finding the Fourth Proportional to 828.64, 1,143.12 and 514

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Solution

The fourth proportional to 828.64, 1,143.12 and 514 is: 709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.64 : 1,143.12 = 514 : x
  2. Step 2: Convert to fraction form
    828.64/1,143.12 = 514/x
  3. Step 3: Cross multiply
    828.64x = 1,143.12 × 514
  4. Step 4: Simplify right side
    828.64x = 587,563.68
  5. Step 5: Solve for x
    x = 587,563.68/828.64
  6. Step 6: Final answer
    x = 709.07

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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.