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Finding the Fourth Proportional to 1,173.91, 1,760.83 and 681.05

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Solution

The fourth proportional to 1,173.91, 1,760.83 and 681.05 is: 1,021.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.91 : 1,760.83 = 681.05 : x
  2. Step 2: Convert to fraction form
    1,173.91/1,760.83 = 681.05/x
  3. Step 3: Cross multiply
    1,173.91x = 1,760.83 × 681.05
  4. Step 4: Simplify right side
    1,173.91x = 1,199,213.27
  5. Step 5: Solve for x
    x = 1,199,213.27/1,173.91
  6. Step 6: Final answer
    x = 1,021.55

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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.