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Finding the Fourth Proportional to 1,083.14, 1,626.23 and 672.78

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Solution

The fourth proportional to 1,083.14, 1,626.23 and 672.78 is: 1,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.14 : 1,626.23 = 672.78 : x
  2. Step 2: Convert to fraction form
    1,083.14/1,626.23 = 672.78/x
  3. Step 3: Cross multiply
    1,083.14x = 1,626.23 × 672.78
  4. Step 4: Simplify right side
    1,083.14x = 1,094,096.70
  5. Step 5: Solve for x
    x = 1,094,096.70/1,083.14
  6. Step 6: Final answer
    x = 1,010.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.