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Finding the Fourth Proportional to 980.63, 1,469.61 and 432.21

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Solution

The fourth proportional to 980.63, 1,469.61 and 432.21 is: 647.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.63 : 1,469.61 = 432.21 : x
  2. Step 2: Convert to fraction form
    980.63/1,469.61 = 432.21/x
  3. Step 3: Cross multiply
    980.63x = 1,469.61 × 432.21
  4. Step 4: Simplify right side
    980.63x = 635,180.14
  5. Step 5: Solve for x
    x = 635,180.14/980.63
  6. Step 6: Final answer
    x = 647.73

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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.