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Finding the Fourth Proportional to 1,067.18, 1,600.79 and 409.01

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Solution

The fourth proportional to 1,067.18, 1,600.79 and 409.01 is: 613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.18 : 1,600.79 = 409.01 : x
  2. Step 2: Convert to fraction form
    1,067.18/1,600.79 = 409.01/x
  3. Step 3: Cross multiply
    1,067.18x = 1,600.79 × 409.01
  4. Step 4: Simplify right side
    1,067.18x = 654,729.07
  5. Step 5: Solve for x
    x = 654,729.07/1,067.18
  6. Step 6: Final answer
    x = 613.52

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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.