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Finding the Fourth Proportional to 854.87, 1,284.75 and 422.33

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Solution

The fourth proportional to 854.87, 1,284.75 and 422.33 is: 634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.87 : 1,284.75 = 422.33 : x
  2. Step 2: Convert to fraction form
    854.87/1,284.75 = 422.33/x
  3. Step 3: Cross multiply
    854.87x = 1,284.75 × 422.33
  4. Step 4: Simplify right side
    854.87x = 542,588.47
  5. Step 5: Solve for x
    x = 542,588.47/854.87
  6. Step 6: Final answer
    x = 634.70

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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.