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Finding the Fourth Proportional to 762.68, 1,143.96 and 214.83

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Solution

The fourth proportional to 762.68, 1,143.96 and 214.83 is: 322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.68 : 1,143.96 = 214.83 : x
  2. Step 2: Convert to fraction form
    762.68/1,143.96 = 214.83/x
  3. Step 3: Cross multiply
    762.68x = 1,143.96 × 214.83
  4. Step 4: Simplify right side
    762.68x = 245,756.93
  5. Step 5: Solve for x
    x = 245,756.93/762.68
  6. Step 6: Final answer
    x = 322.23

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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.