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Finding the Fourth Proportional to 1,466.49, 2,200.38 and 541.83

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Solution

The fourth proportional to 1,466.49, 2,200.38 and 541.83 is: 812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.49 : 2,200.38 = 541.83 : x
  2. Step 2: Convert to fraction form
    1,466.49/2,200.38 = 541.83/x
  3. Step 3: Cross multiply
    1,466.49x = 2,200.38 × 541.83
  4. Step 4: Simplify right side
    1,466.49x = 1,192,220.89
  5. Step 5: Solve for x
    x = 1,192,220.89/1,466.49
  6. Step 6: Final answer
    x = 812.98

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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.