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Finding the Fourth Proportional to 701.62, 1,052.54 and 214.62

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Solution

The fourth proportional to 701.62, 1,052.54 and 214.62 is: 321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.62 : 1,052.54 = 214.62 : x
  2. Step 2: Convert to fraction form
    701.62/1,052.54 = 214.62/x
  3. Step 3: Cross multiply
    701.62x = 1,052.54 × 214.62
  4. Step 4: Simplify right side
    701.62x = 225,896.13
  5. Step 5: Solve for x
    x = 225,896.13/701.62
  6. Step 6: Final answer
    x = 321.96

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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.