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Finding the Fourth Proportional to 762.18, 1,143.34 and 214.38

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Solution

The fourth proportional to 762.18, 1,143.34 and 214.38 is: 321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.18 : 1,143.34 = 214.38 : x
  2. Step 2: Convert to fraction form
    762.18/1,143.34 = 214.38/x
  3. Step 3: Cross multiply
    762.18x = 1,143.34 × 214.38
  4. Step 4: Simplify right side
    762.18x = 245,109.23
  5. Step 5: Solve for x
    x = 245,109.23/762.18
  6. Step 6: Final answer
    x = 321.59

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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.