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Finding the Fourth Proportional to 1,086.25, 1,629.37 and 264.52

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Solution

The fourth proportional to 1,086.25, 1,629.37 and 264.52 is: 396.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.25 : 1,629.37 = 264.52 : x
  2. Step 2: Convert to fraction form
    1,086.25/1,629.37 = 264.52/x
  3. Step 3: Cross multiply
    1,086.25x = 1,629.37 × 264.52
  4. Step 4: Simplify right side
    1,086.25x = 431,000.95
  5. Step 5: Solve for x
    x = 431,000.95/1,086.25
  6. Step 6: Final answer
    x = 396.78

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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.