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Finding the Fourth Proportional to 884.56, 1,326.90 and 451.60

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Solution

The fourth proportional to 884.56, 1,326.90 and 451.60 is: 677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.56 : 1,326.90 = 451.60 : x
  2. Step 2: Convert to fraction form
    884.56/1,326.90 = 451.60/x
  3. Step 3: Cross multiply
    884.56x = 1,326.90 × 451.60
  4. Step 4: Simplify right side
    884.56x = 599,228.04
  5. Step 5: Solve for x
    x = 599,228.04/884.56
  6. Step 6: Final answer
    x = 677.43

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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.