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Finding the Fourth Proportional to 1,067.51, 1,471.73 and 800.81

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Solution

The fourth proportional to 1,067.51, 1,471.73 and 800.81 is: 1,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.51 : 1,471.73 = 800.81 : x
  2. Step 2: Convert to fraction form
    1,067.51/1,471.73 = 800.81/x
  3. Step 3: Cross multiply
    1,067.51x = 1,471.73 × 800.81
  4. Step 4: Simplify right side
    1,067.51x = 1,178,581.78
  5. Step 5: Solve for x
    x = 1,178,581.78/1,067.51
  6. Step 6: Final answer
    x = 1,104.05

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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.