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Finding the Fourth Proportional to 683.98, 1,026.46 and 273.14

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Solution

The fourth proportional to 683.98, 1,026.46 and 273.14 is: 409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.98 : 1,026.46 = 273.14 : x
  2. Step 2: Convert to fraction form
    683.98/1,026.46 = 273.14/x
  3. Step 3: Cross multiply
    683.98x = 1,026.46 × 273.14
  4. Step 4: Simplify right side
    683.98x = 280,367.28
  5. Step 5: Solve for x
    x = 280,367.28/683.98
  6. Step 6: Final answer
    x = 409.91

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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.