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Finding the Fourth Proportional to 762.14, 1,143.09 and 214.34

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Solution

The fourth proportional to 762.14, 1,143.09 and 214.34 is: 321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.14 : 1,143.09 = 214.34 : x
  2. Step 2: Convert to fraction form
    762.14/1,143.09 = 214.34/x
  3. Step 3: Cross multiply
    762.14x = 1,143.09 × 214.34
  4. Step 4: Simplify right side
    762.14x = 245,004.20
  5. Step 5: Solve for x
    x = 245,004.20/762.14
  6. Step 6: Final answer
    x = 321.47

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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.