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Finding the Fourth Proportional to 701.22, 1,051.79 and 262.43

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Solution

The fourth proportional to 701.22, 1,051.79 and 262.43 is: 393.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.22 : 1,051.79 = 262.43 : x
  2. Step 2: Convert to fraction form
    701.22/1,051.79 = 262.43/x
  3. Step 3: Cross multiply
    701.22x = 1,051.79 × 262.43
  4. Step 4: Simplify right side
    701.22x = 276,021.25
  5. Step 5: Solve for x
    x = 276,021.25/701.22
  6. Step 6: Final answer
    x = 393.63

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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.