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Finding the Fourth Proportional to 741.42, 1,109.79 and 415.80

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Solution

The fourth proportional to 741.42, 1,109.79 and 415.80 is: 622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.42 : 1,109.79 = 415.80 : x
  2. Step 2: Convert to fraction form
    741.42/1,109.79 = 415.80/x
  3. Step 3: Cross multiply
    741.42x = 1,109.79 × 415.80
  4. Step 4: Simplify right side
    741.42x = 461,450.68
  5. Step 5: Solve for x
    x = 461,450.68/741.42
  6. Step 6: Final answer
    x = 622.39

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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.