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Finding the Fourth Proportional to 982.13, 1,471.27 and 570.41

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Solution

The fourth proportional to 982.13, 1,471.27 and 570.41 is: 854.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.13 : 1,471.27 = 570.41 : x
  2. Step 2: Convert to fraction form
    982.13/1,471.27 = 570.41/x
  3. Step 3: Cross multiply
    982.13x = 1,471.27 × 570.41
  4. Step 4: Simplify right side
    982.13x = 839,223.86
  5. Step 5: Solve for x
    x = 839,223.86/982.13
  6. Step 6: Final answer
    x = 854.49

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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.