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Finding the Fourth Proportional to 1,067.36, 1,600.62 and 373.82

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Solution

The fourth proportional to 1,067.36, 1,600.62 and 373.82 is: 560.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.36 : 1,600.62 = 373.82 : x
  2. Step 2: Convert to fraction form
    1,067.36/1,600.62 = 373.82/x
  3. Step 3: Cross multiply
    1,067.36x = 1,600.62 × 373.82
  4. Step 4: Simplify right side
    1,067.36x = 598,343.77
  5. Step 5: Solve for x
    x = 598,343.77/1,067.36
  6. Step 6: Final answer
    x = 560.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.