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Finding the Fourth Proportional to 1,067.19, 1,473.31 and 737.39

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Solution

The fourth proportional to 1,067.19, 1,473.31 and 737.39 is: 1,018.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.19 : 1,473.31 = 737.39 : x
  2. Step 2: Convert to fraction form
    1,067.19/1,473.31 = 737.39/x
  3. Step 3: Cross multiply
    1,067.19x = 1,473.31 × 737.39
  4. Step 4: Simplify right side
    1,067.19x = 1,086,405.90
  5. Step 5: Solve for x
    x = 1,086,405.90/1,067.19
  6. Step 6: Final answer
    x = 1,018.00

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Why These Related Problems?

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