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Finding the Fourth Proportional to 1,067.41, 1,602.60 and 704.53

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Solution

The fourth proportional to 1,067.41, 1,602.60 and 704.53 is: 1,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.41 : 1,602.60 = 704.53 : x
  2. Step 2: Convert to fraction form
    1,067.41/1,602.60 = 704.53/x
  3. Step 3: Cross multiply
    1,067.41x = 1,602.60 × 704.53
  4. Step 4: Simplify right side
    1,067.41x = 1,129,079.78
  5. Step 5: Solve for x
    x = 1,129,079.78/1,067.41
  6. Step 6: Final answer
    x = 1,057.78

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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.