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Finding the Fourth Proportional to 786.74, 1,180.05 and 422.24

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Solution

The fourth proportional to 786.74, 1,180.05 and 422.24 is: 633.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.74 : 1,180.05 = 422.24 : x
  2. Step 2: Convert to fraction form
    786.74/1,180.05 = 422.24/x
  3. Step 3: Cross multiply
    786.74x = 1,180.05 × 422.24
  4. Step 4: Simplify right side
    786.74x = 498,258.41
  5. Step 5: Solve for x
    x = 498,258.41/786.74
  6. Step 6: Final answer
    x = 633.32

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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.