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Finding the Fourth Proportional to 982.77, 1,472.27 and 550.23

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Solution

The fourth proportional to 982.77, 1,472.27 and 550.23 is: 824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.77 : 1,472.27 = 550.23 : x
  2. Step 2: Convert to fraction form
    982.77/1,472.27 = 550.23/x
  3. Step 3: Cross multiply
    982.77x = 1,472.27 × 550.23
  4. Step 4: Simplify right side
    982.77x = 810,084.37
  5. Step 5: Solve for x
    x = 810,084.37/982.77
  6. Step 6: Final answer
    x = 824.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.