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Finding the Fourth Proportional to 980.37, 1,470.56 and 432.42

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Solution

The fourth proportional to 980.37, 1,470.56 and 432.42 is: 648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.37 : 1,470.56 = 432.42 : x
  2. Step 2: Convert to fraction form
    980.37/1,470.56 = 432.42/x
  3. Step 3: Cross multiply
    980.37x = 1,470.56 × 432.42
  4. Step 4: Simplify right side
    980.37x = 635,897.39
  5. Step 5: Solve for x
    x = 635,897.39/980.37
  6. Step 6: Final answer
    x = 648.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.