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Finding the Fourth Proportional to 769.71, 1,154.57 and 214.43

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Solution

The fourth proportional to 769.71, 1,154.57 and 214.43 is: 321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.71 : 1,154.57 = 214.43 : x
  2. Step 2: Convert to fraction form
    769.71/1,154.57 = 214.43/x
  3. Step 3: Cross multiply
    769.71x = 1,154.57 × 214.43
  4. Step 4: Simplify right side
    769.71x = 247,567.60
  5. Step 5: Solve for x
    x = 247,567.60/769.71
  6. Step 6: Final answer
    x = 321.64

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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.