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Finding the Fourth Proportional to 682.03, 1,022.81 and 297.07

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Solution

The fourth proportional to 682.03, 1,022.81 and 297.07 is: 445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.03 : 1,022.81 = 297.07 : x
  2. Step 2: Convert to fraction form
    682.03/1,022.81 = 297.07/x
  3. Step 3: Cross multiply
    682.03x = 1,022.81 × 297.07
  4. Step 4: Simplify right side
    682.03x = 303,844.68
  5. Step 5: Solve for x
    x = 303,844.68/682.03
  6. Step 6: Final answer
    x = 445.50

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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.