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Finding the Fourth Proportional to 979.87, 1,353.23 and 846.82

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Solution

The fourth proportional to 979.87, 1,353.23 and 846.82 is: 1,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.87 : 1,353.23 = 846.82 : x
  2. Step 2: Convert to fraction form
    979.87/1,353.23 = 846.82/x
  3. Step 3: Cross multiply
    979.87x = 1,353.23 × 846.82
  4. Step 4: Simplify right side
    979.87x = 1,145,942.23
  5. Step 5: Solve for x
    x = 1,145,942.23/979.87
  6. Step 6: Final answer
    x = 1,169.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.