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Finding the Fourth Proportional to 986.86, 1,479.77 and 492.73

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Solution

The fourth proportional to 986.86, 1,479.77 and 492.73 is: 738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.86 : 1,479.77 = 492.73 : x
  2. Step 2: Convert to fraction form
    986.86/1,479.77 = 492.73/x
  3. Step 3: Cross multiply
    986.86x = 1,479.77 × 492.73
  4. Step 4: Simplify right side
    986.86x = 729,127.07
  5. Step 5: Solve for x
    x = 729,127.07/986.86
  6. Step 6: Final answer
    x = 738.84

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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.