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Finding the Fourth Proportional to 701.29, 1,052.06 and 214.22

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Solution

The fourth proportional to 701.29, 1,052.06 and 214.22 is: 321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.29 : 1,052.06 = 214.22 : x
  2. Step 2: Convert to fraction form
    701.29/1,052.06 = 214.22/x
  3. Step 3: Cross multiply
    701.29x = 1,052.06 × 214.22
  4. Step 4: Simplify right side
    701.29x = 225,372.29
  5. Step 5: Solve for x
    x = 225,372.29/701.29
  6. Step 6: Final answer
    x = 321.37

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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.