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Finding the Fourth Proportional to 824.99, 1,236.20 and 550.06

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Solution

The fourth proportional to 824.99, 1,236.20 and 550.06 is: 824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.99 : 1,236.20 = 550.06 : x
  2. Step 2: Convert to fraction form
    824.99/1,236.20 = 550.06/x
  3. Step 3: Cross multiply
    824.99x = 1,236.20 × 550.06
  4. Step 4: Simplify right side
    824.99x = 679,978.33
  5. Step 5: Solve for x
    x = 679,978.33/824.99
  6. Step 6: Final answer
    x = 824.23

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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.