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Finding the Fourth Proportional to 859.25, 1,286.10 and 447.80

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Solution

The fourth proportional to 859.25, 1,286.10 and 447.80 is: 670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.25 : 1,286.10 = 447.80 : x
  2. Step 2: Convert to fraction form
    859.25/1,286.10 = 447.80/x
  3. Step 3: Cross multiply
    859.25x = 1,286.10 × 447.80
  4. Step 4: Simplify right side
    859.25x = 575,915.58
  5. Step 5: Solve for x
    x = 575,915.58/859.25
  6. Step 6: Final answer
    x = 670.25

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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.