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Finding the Fourth Proportional to 1,102.06, 1,653.09 and 443.98

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Solution

The fourth proportional to 1,102.06, 1,653.09 and 443.98 is: 665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.06 : 1,653.09 = 443.98 : x
  2. Step 2: Convert to fraction form
    1,102.06/1,653.09 = 443.98/x
  3. Step 3: Cross multiply
    1,102.06x = 1,653.09 × 443.98
  4. Step 4: Simplify right side
    1,102.06x = 733,942.40
  5. Step 5: Solve for x
    x = 733,942.40/1,102.06
  6. Step 6: Final answer
    x = 665.97

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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.