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Finding the Fourth Proportional to 779.72, 1,169.12 and 664.22

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Solution

The fourth proportional to 779.72, 1,169.12 and 664.22 is: 995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.72 : 1,169.12 = 664.22 : x
  2. Step 2: Convert to fraction form
    779.72/1,169.12 = 664.22/x
  3. Step 3: Cross multiply
    779.72x = 1,169.12 × 664.22
  4. Step 4: Simplify right side
    779.72x = 776,552.89
  5. Step 5: Solve for x
    x = 776,552.89/779.72
  6. Step 6: Final answer
    x = 995.94

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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.