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Finding the Fourth Proportional to 1,067.99, 1,602.06 and 451.62

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Solution

The fourth proportional to 1,067.99, 1,602.06 and 451.62 is: 677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.99 : 1,602.06 = 451.62 : x
  2. Step 2: Convert to fraction form
    1,067.99/1,602.06 = 451.62/x
  3. Step 3: Cross multiply
    1,067.99x = 1,602.06 × 451.62
  4. Step 4: Simplify right side
    1,067.99x = 723,512.07
  5. Step 5: Solve for x
    x = 723,512.07/1,067.99
  6. Step 6: Final answer
    x = 677.45

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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.