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Finding the Fourth Proportional to 762.12, 1,143.24 and 214.31

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Solution

The fourth proportional to 762.12, 1,143.24 and 214.31 is: 321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.12 : 1,143.24 = 214.31 : x
  2. Step 2: Convert to fraction form
    762.12/1,143.24 = 214.31/x
  3. Step 3: Cross multiply
    762.12x = 1,143.24 × 214.31
  4. Step 4: Simplify right side
    762.12x = 245,002.05
  5. Step 5: Solve for x
    x = 245,002.05/762.12
  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.