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Finding the Fourth Proportional to 849.99, 1,274.99 and 273.27

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Solution

The fourth proportional to 849.99, 1,274.99 and 273.27 is: 409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.99 : 1,274.99 = 273.27 : x
  2. Step 2: Convert to fraction form
    849.99/1,274.99 = 273.27/x
  3. Step 3: Cross multiply
    849.99x = 1,274.99 × 273.27
  4. Step 4: Simplify right side
    849.99x = 348,415.15
  5. Step 5: Solve for x
    x = 348,415.15/849.99
  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.