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Finding the Fourth Proportional to 980.49, 1,471.14 and 547.95

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Solution

The fourth proportional to 980.49, 1,471.14 and 547.95 is: 822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.49 : 1,471.14 = 547.95 : x
  2. Step 2: Convert to fraction form
    980.49/1,471.14 = 547.95/x
  3. Step 3: Cross multiply
    980.49x = 1,471.14 × 547.95
  4. Step 4: Simplify right side
    980.49x = 806,111.16
  5. Step 5: Solve for x
    x = 806,111.16/980.49
  6. Step 6: Final answer
    x = 822.15

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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.