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Finding the Fourth Proportional to 816.54, 1,221.96 and 668.58

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Solution

The fourth proportional to 816.54, 1,221.96 and 668.58 is: 1,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.54 : 1,221.96 = 668.58 : x
  2. Step 2: Convert to fraction form
    816.54/1,221.96 = 668.58/x
  3. Step 3: Cross multiply
    816.54x = 1,221.96 × 668.58
  4. Step 4: Simplify right side
    816.54x = 816,978.02
  5. Step 5: Solve for x
    x = 816,978.02/816.54
  6. Step 6: Final answer
    x = 1,000.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.