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Finding the Fourth Proportional to 1,109.63, 1,664.16 and 329.45

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Solution

The fourth proportional to 1,109.63, 1,664.16 and 329.45 is: 494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.63 : 1,664.16 = 329.45 : x
  2. Step 2: Convert to fraction form
    1,109.63/1,664.16 = 329.45/x
  3. Step 3: Cross multiply
    1,109.63x = 1,664.16 × 329.45
  4. Step 4: Simplify right side
    1,109.63x = 548,257.51
  5. Step 5: Solve for x
    x = 548,257.51/1,109.63
  6. Step 6: Final answer
    x = 494.09

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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.