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Finding the Fourth Proportional to 1,067.84, 1,599.26 and 822.40

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Solution

The fourth proportional to 1,067.84, 1,599.26 and 822.40 is: 1,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.84 : 1,599.26 = 822.40 : x
  2. Step 2: Convert to fraction form
    1,067.84/1,599.26 = 822.40/x
  3. Step 3: Cross multiply
    1,067.84x = 1,599.26 × 822.40
  4. Step 4: Simplify right side
    1,067.84x = 1,315,231.42
  5. Step 5: Solve for x
    x = 1,315,231.42/1,067.84
  6. Step 6: Final answer
    x = 1,231.67

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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.