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Finding the Fourth Proportional to 1,526.75, 2,291.27 and 796.27

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Solution

The fourth proportional to 1,526.75, 2,291.27 and 796.27 is: 1,195.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.75 : 2,291.27 = 796.27 : x
  2. Step 2: Convert to fraction form
    1,526.75/2,291.27 = 796.27/x
  3. Step 3: Cross multiply
    1,526.75x = 2,291.27 × 796.27
  4. Step 4: Simplify right side
    1,526.75x = 1,824,469.56
  5. Step 5: Solve for x
    x = 1,824,469.56/1,526.75
  6. Step 6: Final answer
    x = 1,195.00

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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.