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Finding the Fourth Proportional to 741.42, 1,112.13 and 193.61

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Solution

The fourth proportional to 741.42, 1,112.13 and 193.61 is: 290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.42 : 1,112.13 = 193.61 : x
  2. Step 2: Convert to fraction form
    741.42/1,112.13 = 193.61/x
  3. Step 3: Cross multiply
    741.42x = 1,112.13 × 193.61
  4. Step 4: Simplify right side
    741.42x = 215,313.93
  5. Step 5: Solve for x
    x = 215,313.93/741.42
  6. Step 6: Final answer
    x = 290.41

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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.