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Finding the Fourth Proportional to 1,465.41, 2,198.41 and 540.97

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Solution

The fourth proportional to 1,465.41, 2,198.41 and 540.97 is: 811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.41 : 2,198.41 = 540.97 : x
  2. Step 2: Convert to fraction form
    1,465.41/2,198.41 = 540.97/x
  3. Step 3: Cross multiply
    1,465.41x = 2,198.41 × 540.97
  4. Step 4: Simplify right side
    1,465.41x = 1,189,273.86
  5. Step 5: Solve for x
    x = 1,189,273.86/1,465.41
  6. Step 6: Final answer
    x = 811.56

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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.