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Finding the Fourth Proportional to 855.22, 1,281.87 and 422.68

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Solution

The fourth proportional to 855.22, 1,281.87 and 422.68 is: 633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.22 : 1,281.87 = 422.68 : x
  2. Step 2: Convert to fraction form
    855.22/1,281.87 = 422.68/x
  3. Step 3: Cross multiply
    855.22x = 1,281.87 × 422.68
  4. Step 4: Simplify right side
    855.22x = 541,820.81
  5. Step 5: Solve for x
    x = 541,820.81/855.22
  6. Step 6: Final answer
    x = 633.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.