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Finding the Fourth Proportional to 1,207.27, 1,811.57 and 796.60

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Solution

The fourth proportional to 1,207.27, 1,811.57 and 796.60 is: 1,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.27 : 1,811.57 = 796.60 : x
  2. Step 2: Convert to fraction form
    1,207.27/1,811.57 = 796.60/x
  3. Step 3: Cross multiply
    1,207.27x = 1,811.57 × 796.60
  4. Step 4: Simplify right side
    1,207.27x = 1,443,094.94
  5. Step 5: Solve for x
    x = 1,443,094.94/1,207.27
  6. Step 6: Final answer
    x = 1,195.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.