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Finding the Fourth Proportional to 980.09, 1,470.14 and 432.28

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Solution

The fourth proportional to 980.09, 1,470.14 and 432.28 is: 648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.09 : 1,470.14 = 432.28 : x
  2. Step 2: Convert to fraction form
    980.09/1,470.14 = 432.28/x
  3. Step 3: Cross multiply
    980.09x = 1,470.14 × 432.28
  4. Step 4: Simplify right side
    980.09x = 635,512.12
  5. Step 5: Solve for x
    x = 635,512.12/980.09
  6. Step 6: Final answer
    x = 648.42

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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.