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Finding the Fourth Proportional to 1,067.75, 1,473.93 and 695.05

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Solution

The fourth proportional to 1,067.75, 1,473.93 and 695.05 is: 959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.75 : 1,473.93 = 695.05 : x
  2. Step 2: Convert to fraction form
    1,067.75/1,473.93 = 695.05/x
  3. Step 3: Cross multiply
    1,067.75x = 1,473.93 × 695.05
  4. Step 4: Simplify right side
    1,067.75x = 1,024,451.36
  5. Step 5: Solve for x
    x = 1,024,451.36/1,067.75
  6. Step 6: Final answer
    x = 959.45

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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.