Home / 1,109.34-1,664.10-329.36

Finding the Fourth Proportional to 1,109.34, 1,664.10 and 329.36

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Solution

The fourth proportional to 1,109.34, 1,664.10 and 329.36 is: 494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.34 : 1,664.10 = 329.36 : x
  2. Step 2: Convert to fraction form
    1,109.34/1,664.10 = 329.36/x
  3. Step 3: Cross multiply
    1,109.34x = 1,664.10 × 329.36
  4. Step 4: Simplify right side
    1,109.34x = 548,079.66
  5. Step 5: Solve for x
    x = 548,079.66/1,109.34
  6. Step 6: Final answer
    x = 494.06

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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.