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Finding the Fourth Proportional to 855.96, 1,284.06 and 422.88

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Solution

The fourth proportional to 855.96, 1,284.06 and 422.88 is: 634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.96 : 1,284.06 = 422.88 : x
  2. Step 2: Convert to fraction form
    855.96/1,284.06 = 422.88/x
  3. Step 3: Cross multiply
    855.96x = 1,284.06 × 422.88
  4. Step 4: Simplify right side
    855.96x = 543,003.29
  5. Step 5: Solve for x
    x = 543,003.29/855.96
  6. Step 6: Final answer
    x = 634.38

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Why These Related Problems?

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