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Finding the Fourth Proportional to 701.59, 1,052.38 and 214.64

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Solution

The fourth proportional to 701.59, 1,052.38 and 214.64 is: 321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.59 : 1,052.38 = 214.64 : x
  2. Step 2: Convert to fraction form
    701.59/1,052.38 = 214.64/x
  3. Step 3: Cross multiply
    701.59x = 1,052.38 × 214.64
  4. Step 4: Simplify right side
    701.59x = 225,882.84
  5. Step 5: Solve for x
    x = 225,882.84/701.59
  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.