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Finding the Fourth Proportional to 1,174.62, 1,621.91 and 727.15

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Solution

The fourth proportional to 1,174.62, 1,621.91 and 727.15 is: 1,004.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.62 : 1,621.91 = 727.15 : x
  2. Step 2: Convert to fraction form
    1,174.62/1,621.91 = 727.15/x
  3. Step 3: Cross multiply
    1,174.62x = 1,621.91 × 727.15
  4. Step 4: Simplify right side
    1,174.62x = 1,179,371.86
  5. Step 5: Solve for x
    x = 1,179,371.86/1,174.62
  6. Step 6: Final answer
    x = 1,004.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.