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Finding the Fourth Proportional to 1,067.43, 1,600.74 and 417.95

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Solution

The fourth proportional to 1,067.43, 1,600.74 and 417.95 is: 626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.43 : 1,600.74 = 417.95 : x
  2. Step 2: Convert to fraction form
    1,067.43/1,600.74 = 417.95/x
  3. Step 3: Cross multiply
    1,067.43x = 1,600.74 × 417.95
  4. Step 4: Simplify right side
    1,067.43x = 669,029.28
  5. Step 5: Solve for x
    x = 669,029.28/1,067.43
  6. Step 6: Final answer
    x = 626.77

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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.