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Finding the Fourth Proportional to 1,067.54, 1,601.17 and 287.60

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Solution

The fourth proportional to 1,067.54, 1,601.17 and 287.60 is: 431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.54 : 1,601.17 = 287.60 : x
  2. Step 2: Convert to fraction form
    1,067.54/1,601.17 = 287.60/x
  3. Step 3: Cross multiply
    1,067.54x = 1,601.17 × 287.60
  4. Step 4: Simplify right side
    1,067.54x = 460,492.49
  5. Step 5: Solve for x
    x = 460,492.49/1,067.54
  6. Step 6: Final answer
    x = 431.36

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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.