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Finding the Fourth Proportional to 622.70, 852.59 and 622.70

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Solution

The fourth proportional to 622.70, 852.59 and 622.70 is: 852.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.70 : 852.59 = 622.70 : x
  2. Step 2: Convert to fraction form
    622.70/852.59 = 622.70/x
  3. Step 3: Cross multiply
    622.70x = 852.59 × 622.70
  4. Step 4: Simplify right side
    622.70x = 530,907.79
  5. Step 5: Solve for x
    x = 530,907.79/622.70
  6. Step 6: Final answer
    x = 852.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.