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Finding the Fourth Proportional to 1,067.98, 1,473.41 and 788.88

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Solution

The fourth proportional to 1,067.98, 1,473.41 and 788.88 is: 1,088.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.98 : 1,473.41 = 788.88 : x
  2. Step 2: Convert to fraction form
    1,067.98/1,473.41 = 788.88/x
  3. Step 3: Cross multiply
    1,067.98x = 1,473.41 × 788.88
  4. Step 4: Simplify right side
    1,067.98x = 1,162,343.68
  5. Step 5: Solve for x
    x = 1,162,343.68/1,067.98
  6. Step 6: Final answer
    x = 1,088.36

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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.