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Finding the Fourth Proportional to 7.74, 11.60 and 3.23

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Solution

The fourth proportional to 7.74, 11.60 and 3.23 is: 4.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.74 : 11.60 = 3.23 : x
  2. Step 2: Convert to fraction form
    7.74/11.60 = 3.23/x
  3. Step 3: Cross multiply
    7.74x = 11.60 × 3.23
  4. Step 4: Simplify right side
    7.74x = 37.41
  5. Step 5: Solve for x
    x = 37.41/7.74
  6. Step 6: Final answer
    x = 4.84

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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.