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Finding the Fourth Proportional to 1,169.69, 1,614.06 and 727.56

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Solution

The fourth proportional to 1,169.69, 1,614.06 and 727.56 is: 1,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.69 : 1,614.06 = 727.56 : x
  2. Step 2: Convert to fraction form
    1,169.69/1,614.06 = 727.56/x
  3. Step 3: Cross multiply
    1,169.69x = 1,614.06 × 727.56
  4. Step 4: Simplify right side
    1,169.69x = 1,174,325.49
  5. Step 5: Solve for x
    x = 1,174,325.49/1,169.69
  6. Step 6: Final answer
    x = 1,003.97

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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.