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Finding the Fourth Proportional to 980.52, 1,471.08 and 614.76

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Solution

The fourth proportional to 980.52, 1,471.08 and 614.76 is: 922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.52 : 1,471.08 = 614.76 : x
  2. Step 2: Convert to fraction form
    980.52/1,471.08 = 614.76/x
  3. Step 3: Cross multiply
    980.52x = 1,471.08 × 614.76
  4. Step 4: Simplify right side
    980.52x = 904,361.14
  5. Step 5: Solve for x
    x = 904,361.14/980.52
  6. Step 6: Final answer
    x = 922.33

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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.