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Finding the Fourth Proportional to 1,067.94, 1,466.37 and 901.50

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Solution

The fourth proportional to 1,067.94, 1,466.37 and 901.50 is: 1,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.94 : 1,466.37 = 901.50 : x
  2. Step 2: Convert to fraction form
    1,067.94/1,466.37 = 901.50/x
  3. Step 3: Cross multiply
    1,067.94x = 1,466.37 × 901.50
  4. Step 4: Simplify right side
    1,067.94x = 1,321,932.56
  5. Step 5: Solve for x
    x = 1,321,932.56/1,067.94
  6. Step 6: Final answer
    x = 1,237.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.