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Finding the Fourth Proportional to 1,219.28, 1,823.16 and 822.80

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Solution

The fourth proportional to 1,219.28, 1,823.16 and 822.80 is: 1,230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.28 : 1,823.16 = 822.80 : x
  2. Step 2: Convert to fraction form
    1,219.28/1,823.16 = 822.80/x
  3. Step 3: Cross multiply
    1,219.28x = 1,823.16 × 822.80
  4. Step 4: Simplify right side
    1,219.28x = 1,500,096.05
  5. Step 5: Solve for x
    x = 1,500,096.05/1,219.28
  6. Step 6: Final answer
    x = 1,230.31

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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.