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Finding the Fourth Proportional to 1,067.04, 1,600.65 and 297.54

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Solution

The fourth proportional to 1,067.04, 1,600.65 and 297.54 is: 446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.04 : 1,600.65 = 297.54 : x
  2. Step 2: Convert to fraction form
    1,067.04/1,600.65 = 297.54/x
  3. Step 3: Cross multiply
    1,067.04x = 1,600.65 × 297.54
  4. Step 4: Simplify right side
    1,067.04x = 476,257.40
  5. Step 5: Solve for x
    x = 476,257.40/1,067.04
  6. Step 6: Final answer
    x = 446.34

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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.