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Finding the Fourth Proportional to 859.22, 1,185.27 and 610.64

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Solution

The fourth proportional to 859.22, 1,185.27 and 610.64 is: 842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.22 : 1,185.27 = 610.64 : x
  2. Step 2: Convert to fraction form
    859.22/1,185.27 = 610.64/x
  3. Step 3: Cross multiply
    859.22x = 1,185.27 × 610.64
  4. Step 4: Simplify right side
    859.22x = 723,773.27
  5. Step 5: Solve for x
    x = 723,773.27/859.22
  6. Step 6: Final answer
    x = 842.36

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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.