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Finding the Fourth Proportional to 1,169.49, 1,613.85 and 672.21

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Solution

The fourth proportional to 1,169.49, 1,613.85 and 672.21 is: 927.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.49 : 1,613.85 = 672.21 : x
  2. Step 2: Convert to fraction form
    1,169.49/1,613.85 = 672.21/x
  3. Step 3: Cross multiply
    1,169.49x = 1,613.85 × 672.21
  4. Step 4: Simplify right side
    1,169.49x = 1,084,846.11
  5. Step 5: Solve for x
    x = 1,084,846.11/1,169.49
  6. Step 6: Final answer
    x = 927.62

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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.