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Finding the Fourth Proportional to 982.23, 1,471.82 and 570.35

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Solution

The fourth proportional to 982.23, 1,471.82 and 570.35 is: 854.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.23 : 1,471.82 = 570.35 : x
  2. Step 2: Convert to fraction form
    982.23/1,471.82 = 570.35/x
  3. Step 3: Cross multiply
    982.23x = 1,471.82 × 570.35
  4. Step 4: Simplify right side
    982.23x = 839,442.33
  5. Step 5: Solve for x
    x = 839,442.33/982.23
  6. Step 6: Final answer
    x = 854.63

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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.