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Finding the Fourth Proportional to 817.58, 1,226.38 and 622.98

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Solution

The fourth proportional to 817.58, 1,226.38 and 622.98 is: 934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.58 : 1,226.38 = 622.98 : x
  2. Step 2: Convert to fraction form
    817.58/1,226.38 = 622.98/x
  3. Step 3: Cross multiply
    817.58x = 1,226.38 × 622.98
  4. Step 4: Simplify right side
    817.58x = 764,010.21
  5. Step 5: Solve for x
    x = 764,010.21/817.58
  6. Step 6: Final answer
    x = 934.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.