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Finding the Fourth Proportional to 979.05, 1,469.01 and 431.39

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Solution

The fourth proportional to 979.05, 1,469.01 and 431.39 is: 647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.05 : 1,469.01 = 431.39 : x
  2. Step 2: Convert to fraction form
    979.05/1,469.01 = 431.39/x
  3. Step 3: Cross multiply
    979.05x = 1,469.01 × 431.39
  4. Step 4: Simplify right side
    979.05x = 633,716.22
  5. Step 5: Solve for x
    x = 633,716.22/979.05
  6. Step 6: Final answer
    x = 647.28

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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.