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Finding the Fourth Proportional to 1,067.63, 1,600.35 and 409.33

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Solution

The fourth proportional to 1,067.63, 1,600.35 and 409.33 is: 613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.63 : 1,600.35 = 409.33 : x
  2. Step 2: Convert to fraction form
    1,067.63/1,600.35 = 409.33/x
  3. Step 3: Cross multiply
    1,067.63x = 1,600.35 × 409.33
  4. Step 4: Simplify right side
    1,067.63x = 655,074.80
  5. Step 5: Solve for x
    x = 655,074.80/1,067.63
  6. Step 6: Final answer
    x = 613.58

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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.