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Finding the Fourth Proportional to 1,109.80, 1,664.96 and 379.49

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Solution

The fourth proportional to 1,109.80, 1,664.96 and 379.49 is: 569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.80 : 1,664.96 = 379.49 : x
  2. Step 2: Convert to fraction form
    1,109.80/1,664.96 = 379.49/x
  3. Step 3: Cross multiply
    1,109.80x = 1,664.96 × 379.49
  4. Step 4: Simplify right side
    1,109.80x = 631,825.45
  5. Step 5: Solve for x
    x = 631,825.45/1,109.80
  6. Step 6: Final answer
    x = 569.31

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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.