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Finding the Fourth Proportional to 979.18, 1,468.89 and 320.82

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Solution

The fourth proportional to 979.18, 1,468.89 and 320.82 is: 481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.18 : 1,468.89 = 320.82 : x
  2. Step 2: Convert to fraction form
    979.18/1,468.89 = 320.82/x
  3. Step 3: Cross multiply
    979.18x = 1,468.89 × 320.82
  4. Step 4: Simplify right side
    979.18x = 471,249.29
  5. Step 5: Solve for x
    x = 471,249.29/979.18
  6. Step 6: Final answer
    x = 481.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.