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Finding the Fourth Proportional to 979.82, 1,469.43 and 286.54

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Solution

The fourth proportional to 979.82, 1,469.43 and 286.54 is: 429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.82 : 1,469.43 = 286.54 : x
  2. Step 2: Convert to fraction form
    979.82/1,469.43 = 286.54/x
  3. Step 3: Cross multiply
    979.82x = 1,469.43 × 286.54
  4. Step 4: Simplify right side
    979.82x = 421,050.47
  5. Step 5: Solve for x
    x = 421,050.47/979.82
  6. Step 6: Final answer
    x = 429.72

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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.