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Finding the Fourth Proportional to 1,067.51, 1,599.31 and 738.47

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Solution

The fourth proportional to 1,067.51, 1,599.31 and 738.47 is: 1,106.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.51 : 1,599.31 = 738.47 : x
  2. Step 2: Convert to fraction form
    1,067.51/1,599.31 = 738.47/x
  3. Step 3: Cross multiply
    1,067.51x = 1,599.31 × 738.47
  4. Step 4: Simplify right side
    1,067.51x = 1,181,042.46
  5. Step 5: Solve for x
    x = 1,181,042.46/1,067.51
  6. Step 6: Final answer
    x = 1,106.35

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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.