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Finding the Fourth Proportional to 821.25, 1,231.88 and 800.60

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Solution

The fourth proportional to 821.25, 1,231.88 and 800.60 is: 1,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.25 : 1,231.88 = 800.60 : x
  2. Step 2: Convert to fraction form
    821.25/1,231.88 = 800.60/x
  3. Step 3: Cross multiply
    821.25x = 1,231.88 × 800.60
  4. Step 4: Simplify right side
    821.25x = 986,232.97
  5. Step 5: Solve for x
    x = 986,232.97/821.25
  6. Step 6: Final answer
    x = 1,200.89

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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.