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Finding the Fourth Proportional to 1,082.19, 1,619.07 and 822.94

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Solution

The fourth proportional to 1,082.19, 1,619.07 and 822.94 is: 1,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.19 : 1,619.07 = 822.94 : x
  2. Step 2: Convert to fraction form
    1,082.19/1,619.07 = 822.94/x
  3. Step 3: Cross multiply
    1,082.19x = 1,619.07 × 822.94
  4. Step 4: Simplify right side
    1,082.19x = 1,332,393.35
  5. Step 5: Solve for x
    x = 1,332,393.35/1,082.19
  6. Step 6: Final answer
    x = 1,231.20

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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.