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Finding the Fourth Proportional to 1,067.84, 1,600.90 and 451.16

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Solution

The fourth proportional to 1,067.84, 1,600.90 and 451.16 is: 676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.84 : 1,600.90 = 451.16 : x
  2. Step 2: Convert to fraction form
    1,067.84/1,600.90 = 451.16/x
  3. Step 3: Cross multiply
    1,067.84x = 1,600.90 × 451.16
  4. Step 4: Simplify right side
    1,067.84x = 722,262.04
  5. Step 5: Solve for x
    x = 722,262.04/1,067.84
  6. Step 6: Final answer
    x = 676.38

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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.