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Finding the Fourth Proportional to 1,571.13, 2,356.49 and 531.11

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Solution

The fourth proportional to 1,571.13, 2,356.49 and 531.11 is: 796.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.13 : 2,356.49 = 531.11 : x
  2. Step 2: Convert to fraction form
    1,571.13/2,356.49 = 531.11/x
  3. Step 3: Cross multiply
    1,571.13x = 2,356.49 × 531.11
  4. Step 4: Simplify right side
    1,571.13x = 1,251,540.97
  5. Step 5: Solve for x
    x = 1,251,540.97/1,571.13
  6. Step 6: Final answer
    x = 796.59

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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.