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Finding the Fourth Proportional to 880.75, 1,321.60 and 447.94

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Solution

The fourth proportional to 880.75, 1,321.60 and 447.94 is: 672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.75 : 1,321.60 = 447.94 : x
  2. Step 2: Convert to fraction form
    880.75/1,321.60 = 447.94/x
  3. Step 3: Cross multiply
    880.75x = 1,321.60 × 447.94
  4. Step 4: Simplify right side
    880.75x = 591,997.50
  5. Step 5: Solve for x
    x = 591,997.50/880.75
  6. Step 6: Final answer
    x = 672.15

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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.