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Finding the Fourth Proportional to 741.22, 1,109.42 and 394.06

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Solution

The fourth proportional to 741.22, 1,109.42 and 394.06 is: 589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.22 : 1,109.42 = 394.06 : x
  2. Step 2: Convert to fraction form
    741.22/1,109.42 = 394.06/x
  3. Step 3: Cross multiply
    741.22x = 1,109.42 × 394.06
  4. Step 4: Simplify right side
    741.22x = 437,178.05
  5. Step 5: Solve for x
    x = 437,178.05/741.22
  6. Step 6: Final answer
    x = 589.81

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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.