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Finding the Fourth Proportional to 982.82, 1,471.80 and 570.71

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Solution

The fourth proportional to 982.82, 1,471.80 and 570.71 is: 854.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.82 : 1,471.80 = 570.71 : x
  2. Step 2: Convert to fraction form
    982.82/1,471.80 = 570.71/x
  3. Step 3: Cross multiply
    982.82x = 1,471.80 × 570.71
  4. Step 4: Simplify right side
    982.82x = 839,964.44
  5. Step 5: Solve for x
    x = 839,964.44/982.82
  6. Step 6: Final answer
    x = 854.65

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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.