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Finding the Fourth Proportional to 741.05, 1,111.59 and 193.22

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Solution

The fourth proportional to 741.05, 1,111.59 and 193.22 is: 289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.05 : 1,111.59 = 193.22 : x
  2. Step 2: Convert to fraction form
    741.05/1,111.59 = 193.22/x
  3. Step 3: Cross multiply
    741.05x = 1,111.59 × 193.22
  4. Step 4: Simplify right side
    741.05x = 214,775.38
  5. Step 5: Solve for x
    x = 214,775.38/741.05
  6. Step 6: Final answer
    x = 289.83

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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.