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Finding the Fourth Proportional to 982.26, 1,471.46 and 570.53

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Solution

The fourth proportional to 982.26, 1,471.46 and 570.53 is: 854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.26 : 1,471.46 = 570.53 : x
  2. Step 2: Convert to fraction form
    982.26/1,471.46 = 570.53/x
  3. Step 3: Cross multiply
    982.26x = 1,471.46 × 570.53
  4. Step 4: Simplify right side
    982.26x = 839,509.22
  5. Step 5: Solve for x
    x = 839,509.22/982.26
  6. Step 6: Final answer
    x = 854.68

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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.