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Finding the Fourth Proportional to 705.39, 1,057.81 and 243.09

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Solution

The fourth proportional to 705.39, 1,057.81 and 243.09 is: 364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.39 : 1,057.81 = 243.09 : x
  2. Step 2: Convert to fraction form
    705.39/1,057.81 = 243.09/x
  3. Step 3: Cross multiply
    705.39x = 1,057.81 × 243.09
  4. Step 4: Simplify right side
    705.39x = 257,143.03
  5. Step 5: Solve for x
    x = 257,143.03/705.39
  6. Step 6: Final answer
    x = 364.54

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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.