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Finding the Fourth Proportional to 857.11, 1,285.68 and 566.47

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Solution

The fourth proportional to 857.11, 1,285.68 and 566.47 is: 849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.11 : 1,285.68 = 566.47 : x
  2. Step 2: Convert to fraction form
    857.11/1,285.68 = 566.47/x
  3. Step 3: Cross multiply
    857.11x = 1,285.68 × 566.47
  4. Step 4: Simplify right side
    857.11x = 728,299.15
  5. Step 5: Solve for x
    x = 728,299.15/857.11
  6. Step 6: Final answer
    x = 849.71

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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.