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Finding the Fourth Proportional to 1,153.75, 1,727.72 and 713.19

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Solution

The fourth proportional to 1,153.75, 1,727.72 and 713.19 is: 1,067.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.75 : 1,727.72 = 713.19 : x
  2. Step 2: Convert to fraction form
    1,153.75/1,727.72 = 713.19/x
  3. Step 3: Cross multiply
    1,153.75x = 1,727.72 × 713.19
  4. Step 4: Simplify right side
    1,153.75x = 1,232,190.09
  5. Step 5: Solve for x
    x = 1,232,190.09/1,153.75
  6. Step 6: Final answer
    x = 1,067.99

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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.