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Finding the Fourth Proportional to 979.09, 1,469.31 and 431.65

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Solution

The fourth proportional to 979.09, 1,469.31 and 431.65 is: 647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.09 : 1,469.31 = 431.65 : x
  2. Step 2: Convert to fraction form
    979.09/1,469.31 = 431.65/x
  3. Step 3: Cross multiply
    979.09x = 1,469.31 × 431.65
  4. Step 4: Simplify right side
    979.09x = 634,235.65
  5. Step 5: Solve for x
    x = 634,235.65/979.09
  6. Step 6: Final answer
    x = 647.78

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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.