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Finding the Fourth Proportional to 1,067.13, 1,471.64 and 1,025.01

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Solution

The fourth proportional to 1,067.13, 1,471.64 and 1,025.01 is: 1,413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.13 : 1,471.64 = 1,025.01 : x
  2. Step 2: Convert to fraction form
    1,067.13/1,471.64 = 1,025.01/x
  3. Step 3: Cross multiply
    1,067.13x = 1,471.64 × 1,025.01
  4. Step 4: Simplify right side
    1,067.13x = 1,508,440.59
  5. Step 5: Solve for x
    x = 1,508,440.59/1,067.13
  6. Step 6: Final answer
    x = 1,413.55

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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.