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Finding the Fourth Proportional to 850.48, 1,269.24 and 828.60

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Solution

The fourth proportional to 850.48, 1,269.24 and 828.60 is: 1,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.48 : 1,269.24 = 828.60 : x
  2. Step 2: Convert to fraction form
    850.48/1,269.24 = 828.60/x
  3. Step 3: Cross multiply
    850.48x = 1,269.24 × 828.60
  4. Step 4: Simplify right side
    850.48x = 1,051,692.26
  5. Step 5: Solve for x
    x = 1,051,692.26/850.48
  6. Step 6: Final answer
    x = 1,236.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.