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Finding the Fourth Proportional to 849.71, 1,273.46 and 828.25

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Solution

The fourth proportional to 849.71, 1,273.46 and 828.25 is: 1,241.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.71 : 1,273.46 = 828.25 : x
  2. Step 2: Convert to fraction form
    849.71/1,273.46 = 828.25/x
  3. Step 3: Cross multiply
    849.71x = 1,273.46 × 828.25
  4. Step 4: Simplify right side
    849.71x = 1,054,735.92
  5. Step 5: Solve for x
    x = 1,054,735.92/849.71
  6. Step 6: Final answer
    x = 1,241.29

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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.