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Finding the Fourth Proportional to 936.52, 1,404.78 and 252.52

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Solution

The fourth proportional to 936.52, 1,404.78 and 252.52 is: 378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.52 : 1,404.78 = 252.52 : x
  2. Step 2: Convert to fraction form
    936.52/1,404.78 = 252.52/x
  3. Step 3: Cross multiply
    936.52x = 1,404.78 × 252.52
  4. Step 4: Simplify right side
    936.52x = 354,735.05
  5. Step 5: Solve for x
    x = 354,735.05/936.52
  6. Step 6: Final answer
    x = 378.78

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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.