Home / 1,067.07-1,600.60-297.57

Finding the Fourth Proportional to 1,067.07, 1,600.60 and 297.57

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Solution

The fourth proportional to 1,067.07, 1,600.60 and 297.57 is: 446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.07 : 1,600.60 = 297.57 : x
  2. Step 2: Convert to fraction form
    1,067.07/1,600.60 = 297.57/x
  3. Step 3: Cross multiply
    1,067.07x = 1,600.60 × 297.57
  4. Step 4: Simplify right side
    1,067.07x = 476,289.80
  5. Step 5: Solve for x
    x = 476,289.80/1,067.07
  6. Step 6: Final answer
    x = 446.35

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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.