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Finding the Fourth Proportional to 766.55, 1,150.05 and 327.57

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Solution

The fourth proportional to 766.55, 1,150.05 and 327.57 is: 491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.55 : 1,150.05 = 327.57 : x
  2. Step 2: Convert to fraction form
    766.55/1,150.05 = 327.57/x
  3. Step 3: Cross multiply
    766.55x = 1,150.05 × 327.57
  4. Step 4: Simplify right side
    766.55x = 376,721.88
  5. Step 5: Solve for x
    x = 376,721.88/766.55
  6. Step 6: Final answer
    x = 491.45

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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.