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Finding the Fourth Proportional to 1,273.83, 1,757.14 and 800.98

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Solution

The fourth proportional to 1,273.83, 1,757.14 and 800.98 is: 1,104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.83 : 1,757.14 = 800.98 : x
  2. Step 2: Convert to fraction form
    1,273.83/1,757.14 = 800.98/x
  3. Step 3: Cross multiply
    1,273.83x = 1,757.14 × 800.98
  4. Step 4: Simplify right side
    1,273.83x = 1,407,432.20
  5. Step 5: Solve for x
    x = 1,407,432.20/1,273.83
  6. Step 6: Final answer
    x = 1,104.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.