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Finding the Fourth Proportional to 1,086.38, 1,628.61 and 427.78

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Solution

The fourth proportional to 1,086.38, 1,628.61 and 427.78 is: 641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.38 : 1,628.61 = 427.78 : x
  2. Step 2: Convert to fraction form
    1,086.38/1,628.61 = 427.78/x
  3. Step 3: Cross multiply
    1,086.38x = 1,628.61 × 427.78
  4. Step 4: Simplify right side
    1,086.38x = 696,687.22
  5. Step 5: Solve for x
    x = 696,687.22/1,086.38
  6. Step 6: Final answer
    x = 641.29

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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.