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Finding the Fourth Proportional to 817.12, 1,226.76 and 488.67

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Solution

The fourth proportional to 817.12, 1,226.76 and 488.67 is: 733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.12 : 1,226.76 = 488.67 : x
  2. Step 2: Convert to fraction form
    817.12/1,226.76 = 488.67/x
  3. Step 3: Cross multiply
    817.12x = 1,226.76 × 488.67
  4. Step 4: Simplify right side
    817.12x = 599,480.81
  5. Step 5: Solve for x
    x = 599,480.81/817.12
  6. Step 6: Final answer
    x = 733.65

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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.