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Finding the Fourth Proportional to 809.59, 1,212.56 and 567.20

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Solution

The fourth proportional to 809.59, 1,212.56 and 567.20 is: 849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.59 : 1,212.56 = 567.20 : x
  2. Step 2: Convert to fraction form
    809.59/1,212.56 = 567.20/x
  3. Step 3: Cross multiply
    809.59x = 1,212.56 × 567.20
  4. Step 4: Simplify right side
    809.59x = 687,757.36
  5. Step 5: Solve for x
    x = 687,757.36/809.59
  6. Step 6: Final answer
    x = 849.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.