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Finding the Fourth Proportional to 828.20, 1,143.80 and 517.88

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Solution

The fourth proportional to 828.20, 1,143.80 and 517.88 is: 715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.20 : 1,143.80 = 517.88 : x
  2. Step 2: Convert to fraction form
    828.20/1,143.80 = 517.88/x
  3. Step 3: Cross multiply
    828.20x = 1,143.80 × 517.88
  4. Step 4: Simplify right side
    828.20x = 592,342.84
  5. Step 5: Solve for x
    x = 592,342.84/828.20
  6. Step 6: Final answer
    x = 715.22

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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.