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Finding the Fourth Proportional to 857.88, 1,286.22 and 565.48

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Solution

The fourth proportional to 857.88, 1,286.22 and 565.48 is: 847.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.88 : 1,286.22 = 565.48 : x
  2. Step 2: Convert to fraction form
    857.88/1,286.22 = 565.48/x
  3. Step 3: Cross multiply
    857.88x = 1,286.22 × 565.48
  4. Step 4: Simplify right side
    857.88x = 727,332.23
  5. Step 5: Solve for x
    x = 727,332.23/857.88
  6. Step 6: Final answer
    x = 847.83

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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.