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Finding the Fourth Proportional to 980.60, 1,471.14 and 548.06

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Solution

The fourth proportional to 980.60, 1,471.14 and 548.06 is: 822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.60 : 1,471.14 = 548.06 : x
  2. Step 2: Convert to fraction form
    980.60/1,471.14 = 548.06/x
  3. Step 3: Cross multiply
    980.60x = 1,471.14 × 548.06
  4. Step 4: Simplify right side
    980.60x = 806,272.99
  5. Step 5: Solve for x
    x = 806,272.99/980.60
  6. Step 6: Final answer
    x = 822.22

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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.