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Finding the Fourth Proportional to 828.59, 1,143.81 and 559.46

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Solution

The fourth proportional to 828.59, 1,143.81 and 559.46 is: 772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.59 : 1,143.81 = 559.46 : x
  2. Step 2: Convert to fraction form
    828.59/1,143.81 = 559.46/x
  3. Step 3: Cross multiply
    828.59x = 1,143.81 × 559.46
  4. Step 4: Simplify right side
    828.59x = 639,918.80
  5. Step 5: Solve for x
    x = 639,918.80/828.59
  6. Step 6: Final answer
    x = 772.30

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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.