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Finding the Fourth Proportional to 1,464.97, 2,198.32 and 541.18

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Solution

The fourth proportional to 1,464.97, 2,198.32 and 541.18 is: 812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.97 : 2,198.32 = 541.18 : x
  2. Step 2: Convert to fraction form
    1,464.97/2,198.32 = 541.18/x
  3. Step 3: Cross multiply
    1,464.97x = 2,198.32 × 541.18
  4. Step 4: Simplify right side
    1,464.97x = 1,189,679.97
  5. Step 5: Solve for x
    x = 1,189,679.97/1,464.97
  6. Step 6: Final answer
    x = 812.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.