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Finding the Fourth Proportional to 1,144.29, 1,578.93 and 672.09

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Solution

The fourth proportional to 1,144.29, 1,578.93 and 672.09 is: 927.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.29 : 1,578.93 = 672.09 : x
  2. Step 2: Convert to fraction form
    1,144.29/1,578.93 = 672.09/x
  3. Step 3: Cross multiply
    1,144.29x = 1,578.93 × 672.09
  4. Step 4: Simplify right side
    1,144.29x = 1,061,176.85
  5. Step 5: Solve for x
    x = 1,061,176.85/1,144.29
  6. Step 6: Final answer
    x = 927.37

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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.