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Finding the Fourth Proportional to 1,144.16, 1,578.92 and 672.06

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Solution

The fourth proportional to 1,144.16, 1,578.92 and 672.06 is: 927.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.16 : 1,578.92 = 672.06 : x
  2. Step 2: Convert to fraction form
    1,144.16/1,578.92 = 672.06/x
  3. Step 3: Cross multiply
    1,144.16x = 1,578.92 × 672.06
  4. Step 4: Simplify right side
    1,144.16x = 1,061,128.98
  5. Step 5: Solve for x
    x = 1,061,128.98/1,144.16
  6. Step 6: Final answer
    x = 927.43

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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.