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Finding the Fourth Proportional to 821.96, 1,232.26 and 667.50

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Solution

The fourth proportional to 821.96, 1,232.26 and 667.50 is: 1,000.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.96 : 1,232.26 = 667.50 : x
  2. Step 2: Convert to fraction form
    821.96/1,232.26 = 667.50/x
  3. Step 3: Cross multiply
    821.96x = 1,232.26 × 667.50
  4. Step 4: Simplify right side
    821.96x = 822,533.55
  5. Step 5: Solve for x
    x = 822,533.55/821.96
  6. Step 6: Final answer
    x = 1,000.70

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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.