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Finding the Fourth Proportional to 859.42, 1,187.22 and 665.44

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Solution

The fourth proportional to 859.42, 1,187.22 and 665.44 is: 919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.42 : 1,187.22 = 665.44 : x
  2. Step 2: Convert to fraction form
    859.42/1,187.22 = 665.44/x
  3. Step 3: Cross multiply
    859.42x = 1,187.22 × 665.44
  4. Step 4: Simplify right side
    859.42x = 790,023.68
  5. Step 5: Solve for x
    x = 790,023.68/859.42
  6. Step 6: Final answer
    x = 919.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.