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Finding the Fourth Proportional to 850.25, 1,272.87 and 829.29

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Solution

The fourth proportional to 850.25, 1,272.87 and 829.29 is: 1,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.25 : 1,272.87 = 829.29 : x
  2. Step 2: Convert to fraction form
    850.25/1,272.87 = 829.29/x
  3. Step 3: Cross multiply
    850.25x = 1,272.87 × 829.29
  4. Step 4: Simplify right side
    850.25x = 1,055,585.47
  5. Step 5: Solve for x
    x = 1,055,585.47/850.25
  6. Step 6: Final answer
    x = 1,241.50

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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.