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Finding the Fourth Proportional to 884.93, 1,327.00 and 445.90

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Solution

The fourth proportional to 884.93, 1,327.00 and 445.90 is: 668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.93 : 1,327.00 = 445.90 : x
  2. Step 2: Convert to fraction form
    884.93/1,327.00 = 445.90/x
  3. Step 3: Cross multiply
    884.93x = 1,327.00 × 445.90
  4. Step 4: Simplify right side
    884.93x = 591,700.44
  5. Step 5: Solve for x
    x = 591,700.44/884.93
  6. Step 6: Final answer
    x = 668.64

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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.