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Finding the Fourth Proportional to 1,273.43, 1,909.79 and 451.59

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Solution

The fourth proportional to 1,273.43, 1,909.79 and 451.59 is: 677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.43 : 1,909.79 = 451.59 : x
  2. Step 2: Convert to fraction form
    1,273.43/1,909.79 = 451.59/x
  3. Step 3: Cross multiply
    1,273.43x = 1,909.79 × 451.59
  4. Step 4: Simplify right side
    1,273.43x = 862,439.81
  5. Step 5: Solve for x
    x = 862,439.81/1,273.43
  6. Step 6: Final answer
    x = 677.26

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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.