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Finding the Fourth Proportional to 654, 981.36 and 422.68

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Solution

The fourth proportional to 654, 981.36 and 422.68 is: 634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    654 : 981.36 = 422.68 : x
  2. Step 2: Convert to fraction form
    654/981.36 = 422.68/x
  3. Step 3: Cross multiply
    654x = 981.36 × 422.68
  4. Step 4: Simplify right side
    654x = 414,801.24
  5. Step 5: Solve for x
    x = 414,801.24/654
  6. Step 6: Final answer
    x = 634.25

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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.