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Finding the Fourth Proportional to 1,679.35, 2,517.45 and 582.97

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Solution

The fourth proportional to 1,679.35, 2,517.45 and 582.97 is: 873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.35 : 2,517.45 = 582.97 : x
  2. Step 2: Convert to fraction form
    1,679.35/2,517.45 = 582.97/x
  3. Step 3: Cross multiply
    1,679.35x = 2,517.45 × 582.97
  4. Step 4: Simplify right side
    1,679.35x = 1,467,597.83
  5. Step 5: Solve for x
    x = 1,467,597.83/1,679.35
  6. Step 6: Final answer
    x = 873.91

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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.