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Finding the Fourth Proportional to 1,067.89, 1,473.72 and 625.80

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Solution

The fourth proportional to 1,067.89, 1,473.72 and 625.80 is: 863.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.89 : 1,473.72 = 625.80 : x
  2. Step 2: Convert to fraction form
    1,067.89/1,473.72 = 625.80/x
  3. Step 3: Cross multiply
    1,067.89x = 1,473.72 × 625.80
  4. Step 4: Simplify right side
    1,067.89x = 922,253.98
  5. Step 5: Solve for x
    x = 922,253.98/1,067.89
  6. Step 6: Final answer
    x = 863.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.