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Finding the Fourth Proportional to 683.94, 1,026.07 and 273.27

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Solution

The fourth proportional to 683.94, 1,026.07 and 273.27 is: 409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.94 : 1,026.07 = 273.27 : x
  2. Step 2: Convert to fraction form
    683.94/1,026.07 = 273.27/x
  3. Step 3: Cross multiply
    683.94x = 1,026.07 × 273.27
  4. Step 4: Simplify right side
    683.94x = 280,397.31
  5. Step 5: Solve for x
    x = 280,397.31/683.94
  6. Step 6: Final answer
    x = 409.97

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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.