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Finding the Fourth Proportional to 979.73, 1,469.80 and 363.44

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Solution

The fourth proportional to 979.73, 1,469.80 and 363.44 is: 545.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.73 : 1,469.80 = 363.44 : x
  2. Step 2: Convert to fraction form
    979.73/1,469.80 = 363.44/x
  3. Step 3: Cross multiply
    979.73x = 1,469.80 × 363.44
  4. Step 4: Simplify right side
    979.73x = 534,184.11
  5. Step 5: Solve for x
    x = 534,184.11/979.73
  6. Step 6: Final answer
    x = 545.24

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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.