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Finding the Fourth Proportional to 1,466.57, 2,198.48 and 541.69

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Solution

The fourth proportional to 1,466.57, 2,198.48 and 541.69 is: 812.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.57 : 2,198.48 = 541.69 : x
  2. Step 2: Convert to fraction form
    1,466.57/2,198.48 = 541.69/x
  3. Step 3: Cross multiply
    1,466.57x = 2,198.48 × 541.69
  4. Step 4: Simplify right side
    1,466.57x = 1,190,886.43
  5. Step 5: Solve for x
    x = 1,190,886.43/1,466.57
  6. Step 6: Final answer
    x = 812.02

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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.