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Finding the Fourth Proportional to 1,174.59, 1,760.22 and 443.61

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Solution

The fourth proportional to 1,174.59, 1,760.22 and 443.61 is: 664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.59 : 1,760.22 = 443.61 : x
  2. Step 2: Convert to fraction form
    1,174.59/1,760.22 = 443.61/x
  3. Step 3: Cross multiply
    1,174.59x = 1,760.22 × 443.61
  4. Step 4: Simplify right side
    1,174.59x = 780,851.19
  5. Step 5: Solve for x
    x = 780,851.19/1,174.59
  6. Step 6: Final answer
    x = 664.79

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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.