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Finding the Fourth Proportional to 1,067.76, 1,600.14 and 546.66

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Solution

The fourth proportional to 1,067.76, 1,600.14 and 546.66 is: 819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.76 : 1,600.14 = 546.66 : x
  2. Step 2: Convert to fraction form
    1,067.76/1,600.14 = 546.66/x
  3. Step 3: Cross multiply
    1,067.76x = 1,600.14 × 546.66
  4. Step 4: Simplify right side
    1,067.76x = 874,732.53
  5. Step 5: Solve for x
    x = 874,732.53/1,067.76
  6. Step 6: Final answer
    x = 819.22

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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.