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Finding the Fourth Proportional to 852.22, 1,175.41 and 642.43

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Solution

The fourth proportional to 852.22, 1,175.41 and 642.43 is: 886.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.22 : 1,175.41 = 642.43 : x
  2. Step 2: Convert to fraction form
    852.22/1,175.41 = 642.43/x
  3. Step 3: Cross multiply
    852.22x = 1,175.41 × 642.43
  4. Step 4: Simplify right side
    852.22x = 755,120.92
  5. Step 5: Solve for x
    x = 755,120.92/852.22
  6. Step 6: Final answer
    x = 886.06

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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.