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Finding the Fourth Proportional to 762.12, 1,143.16 and 214.29

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Solution

The fourth proportional to 762.12, 1,143.16 and 214.29 is: 321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.12 : 1,143.16 = 214.29 : x
  2. Step 2: Convert to fraction form
    762.12/1,143.16 = 214.29/x
  3. Step 3: Cross multiply
    762.12x = 1,143.16 × 214.29
  4. Step 4: Simplify right side
    762.12x = 244,967.76
  5. Step 5: Solve for x
    x = 244,967.76/762.12
  6. Step 6: Final answer
    x = 321.43

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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.