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Finding the Fourth Proportional to 1,109.44, 1,663.09 and 493.23

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Solution

The fourth proportional to 1,109.44, 1,663.09 and 493.23 is: 739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.44 : 1,663.09 = 493.23 : x
  2. Step 2: Convert to fraction form
    1,109.44/1,663.09 = 493.23/x
  3. Step 3: Cross multiply
    1,109.44x = 1,663.09 × 493.23
  4. Step 4: Simplify right side
    1,109.44x = 820,285.88
  5. Step 5: Solve for x
    x = 820,285.88/1,109.44
  6. Step 6: Final answer
    x = 739.37

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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.