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Finding the Fourth Proportional to 622.62, 856.98 and 596.70

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Solution

The fourth proportional to 622.62, 856.98 and 596.70 is: 821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.62 : 856.98 = 596.70 : x
  2. Step 2: Convert to fraction form
    622.62/856.98 = 596.70/x
  3. Step 3: Cross multiply
    622.62x = 856.98 × 596.70
  4. Step 4: Simplify right side
    622.62x = 511,359.97
  5. Step 5: Solve for x
    x = 511,359.97/622.62
  6. Step 6: Final answer
    x = 821.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.