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Finding the Fourth Proportional to 1,456.74, 2,183.16 and 531.43

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Solution

The fourth proportional to 1,456.74, 2,183.16 and 531.43 is: 796.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.74 : 2,183.16 = 531.43 : x
  2. Step 2: Convert to fraction form
    1,456.74/2,183.16 = 531.43/x
  3. Step 3: Cross multiply
    1,456.74x = 2,183.16 × 531.43
  4. Step 4: Simplify right side
    1,456.74x = 1,160,198.71
  5. Step 5: Solve for x
    x = 1,160,198.71/1,456.74
  6. Step 6: Final answer
    x = 796.43

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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.