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Finding the Fourth Proportional to 762.56, 1,143.66 and 214.76

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Solution

The fourth proportional to 762.56, 1,143.66 and 214.76 is: 322.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.56 : 1,143.66 = 214.76 : x
  2. Step 2: Convert to fraction form
    762.56/1,143.66 = 214.76/x
  3. Step 3: Cross multiply
    762.56x = 1,143.66 × 214.76
  4. Step 4: Simplify right side
    762.56x = 245,612.42
  5. Step 5: Solve for x
    x = 245,612.42/762.56
  6. Step 6: Final answer
    x = 322.09

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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.