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Finding the Fourth Proportional to 1,644.30, 2,466.81 and 474.30

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Solution

The fourth proportional to 1,644.30, 2,466.81 and 474.30 is: 711.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.30 : 2,466.81 = 474.30 : x
  2. Step 2: Convert to fraction form
    1,644.30/2,466.81 = 474.30/x
  3. Step 3: Cross multiply
    1,644.30x = 2,466.81 × 474.30
  4. Step 4: Simplify right side
    1,644.30x = 1,170,007.98
  5. Step 5: Solve for x
    x = 1,170,007.98/1,644.30
  6. Step 6: Final answer
    x = 711.55

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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.