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Finding the Fourth Proportional to 766.19, 1,149.21 and 327.42

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Solution

The fourth proportional to 766.19, 1,149.21 and 327.42 is: 491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.19 : 1,149.21 = 327.42 : x
  2. Step 2: Convert to fraction form
    766.19/1,149.21 = 327.42/x
  3. Step 3: Cross multiply
    766.19x = 1,149.21 × 327.42
  4. Step 4: Simplify right side
    766.19x = 376,274.34
  5. Step 5: Solve for x
    x = 376,274.34/766.19
  6. Step 6: Final answer
    x = 491.10

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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.