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Finding the Fourth Proportional to 1,109.72, 1,664.84 and 329.73

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Solution

The fourth proportional to 1,109.72, 1,664.84 and 329.73 is: 494.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.72 : 1,664.84 = 329.73 : x
  2. Step 2: Convert to fraction form
    1,109.72/1,664.84 = 329.73/x
  3. Step 3: Cross multiply
    1,109.72x = 1,664.84 × 329.73
  4. Step 4: Simplify right side
    1,109.72x = 548,946.84
  5. Step 5: Solve for x
    x = 548,946.84/1,109.72
  6. Step 6: Final answer
    x = 494.67

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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.