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Finding the Fourth Proportional to 700.43, 965.99 and 451.67

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Solution

The fourth proportional to 700.43, 965.99 and 451.67 is: 622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.43 : 965.99 = 451.67 : x
  2. Step 2: Convert to fraction form
    700.43/965.99 = 451.67/x
  3. Step 3: Cross multiply
    700.43x = 965.99 × 451.67
  4. Step 4: Simplify right side
    700.43x = 436,306.44
  5. Step 5: Solve for x
    x = 436,306.44/700.43
  6. Step 6: Final answer
    x = 622.91

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