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Finding the Fourth Proportional to 979.38, 1,467.84 and 431.46

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Solution

The fourth proportional to 979.38, 1,467.84 and 431.46 is: 646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.38 : 1,467.84 = 431.46 : x
  2. Step 2: Convert to fraction form
    979.38/1,467.84 = 431.46/x
  3. Step 3: Cross multiply
    979.38x = 1,467.84 × 431.46
  4. Step 4: Simplify right side
    979.38x = 633,314.25
  5. Step 5: Solve for x
    x = 633,314.25/979.38
  6. Step 6: Final answer
    x = 646.65

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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.