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Finding the Fourth Proportional to 1,244.93, 1,717.20 and 796.77

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Solution

The fourth proportional to 1,244.93, 1,717.20 and 796.77 is: 1,099.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.93 : 1,717.20 = 796.77 : x
  2. Step 2: Convert to fraction form
    1,244.93/1,717.20 = 796.77/x
  3. Step 3: Cross multiply
    1,244.93x = 1,717.20 × 796.77
  4. Step 4: Simplify right side
    1,244.93x = 1,368,213.44
  5. Step 5: Solve for x
    x = 1,368,213.44/1,244.93
  6. Step 6: Final answer
    x = 1,099.03

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Why These Related Problems?

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