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Finding the Fourth Proportional to 1,067.85, 1,599.21 and 546.48

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Solution

The fourth proportional to 1,067.85, 1,599.21 and 546.48 is: 818.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.85 : 1,599.21 = 546.48 : x
  2. Step 2: Convert to fraction form
    1,067.85/1,599.21 = 546.48/x
  3. Step 3: Cross multiply
    1,067.85x = 1,599.21 × 546.48
  4. Step 4: Simplify right side
    1,067.85x = 873,936.28
  5. Step 5: Solve for x
    x = 873,936.28/1,067.85
  6. Step 6: Final answer
    x = 818.41

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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.