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Finding the Fourth Proportional to 1,067.14, 1,600.35 and 546.58

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Solution

The fourth proportional to 1,067.14, 1,600.35 and 546.58 is: 819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.14 : 1,600.35 = 546.58 : x
  2. Step 2: Convert to fraction form
    1,067.14/1,600.35 = 546.58/x
  3. Step 3: Cross multiply
    1,067.14x = 1,600.35 × 546.58
  4. Step 4: Simplify right side
    1,067.14x = 874,719.30
  5. Step 5: Solve for x
    x = 874,719.30/1,067.14
  6. Step 6: Final answer
    x = 819.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.