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Finding the Fourth Proportional to 1,169.30, 1,613.82 and 727.35

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Solution

The fourth proportional to 1,169.30, 1,613.82 and 727.35 is: 1,003.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.30 : 1,613.82 = 727.35 : x
  2. Step 2: Convert to fraction form
    1,169.30/1,613.82 = 727.35/x
  3. Step 3: Cross multiply
    1,169.30x = 1,613.82 × 727.35
  4. Step 4: Simplify right side
    1,169.30x = 1,173,811.98
  5. Step 5: Solve for x
    x = 1,173,811.98/1,169.30
  6. Step 6: Final answer
    x = 1,003.86

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