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Finding the Fourth Proportional to 679.86, 1,019.80 and 166.86

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Solution

The fourth proportional to 679.86, 1,019.80 and 166.86 is: 250.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.86 : 1,019.80 = 166.86 : x
  2. Step 2: Convert to fraction form
    679.86/1,019.80 = 166.86/x
  3. Step 3: Cross multiply
    679.86x = 1,019.80 × 166.86
  4. Step 4: Simplify right side
    679.86x = 170,162.99
  5. Step 5: Solve for x
    x = 170,162.99/679.86
  6. Step 6: Final answer
    x = 250.29

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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.