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Finding the Fourth Proportional to 1,086.52, 1,629.78 and 402.52

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Solution

The fourth proportional to 1,086.52, 1,629.78 and 402.52 is: 603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.52 : 1,629.78 = 402.52 : x
  2. Step 2: Convert to fraction form
    1,086.52/1,629.78 = 402.52/x
  3. Step 3: Cross multiply
    1,086.52x = 1,629.78 × 402.52
  4. Step 4: Simplify right side
    1,086.52x = 656,019.05
  5. Step 5: Solve for x
    x = 656,019.05/1,086.52
  6. Step 6: Final answer
    x = 603.78

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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.