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Finding the Fourth Proportional to 979.22, 1,462.08 and 796.96

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Solution

The fourth proportional to 979.22, 1,462.08 and 796.96 is: 1,189.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.22 : 1,462.08 = 796.96 : x
  2. Step 2: Convert to fraction form
    979.22/1,462.08 = 796.96/x
  3. Step 3: Cross multiply
    979.22x = 1,462.08 × 796.96
  4. Step 4: Simplify right side
    979.22x = 1,165,219.28
  5. Step 5: Solve for x
    x = 1,165,219.28/979.22
  6. Step 6: Final answer
    x = 1,189.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.