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Finding the Fourth Proportional to 1,169.16, 1,613.82 and 727.21

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Solution

The fourth proportional to 1,169.16, 1,613.82 and 727.21 is: 1,003.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.16 : 1,613.82 = 727.21 : x
  2. Step 2: Convert to fraction form
    1,169.16/1,613.82 = 727.21/x
  3. Step 3: Cross multiply
    1,169.16x = 1,613.82 × 727.21
  4. Step 4: Simplify right side
    1,169.16x = 1,173,586.04
  5. Step 5: Solve for x
    x = 1,173,586.04/1,169.16
  6. Step 6: Final answer
    x = 1,003.79

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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.