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Finding the Fourth Proportional to 980.62, 1,471.94 and 570.56

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Solution

The fourth proportional to 980.62, 1,471.94 and 570.56 is: 856.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.62 : 1,471.94 = 570.56 : x
  2. Step 2: Convert to fraction form
    980.62/1,471.94 = 570.56/x
  3. Step 3: Cross multiply
    980.62x = 1,471.94 × 570.56
  4. Step 4: Simplify right side
    980.62x = 839,830.09
  5. Step 5: Solve for x
    x = 839,830.09/980.62
  6. Step 6: Final answer
    x = 856.43

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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.