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Finding the Fourth Proportional to 817.29, 1,222.29 and 779.63

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Solution

The fourth proportional to 817.29, 1,222.29 and 779.63 is: 1,165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.29 : 1,222.29 = 779.63 : x
  2. Step 2: Convert to fraction form
    817.29/1,222.29 = 779.63/x
  3. Step 3: Cross multiply
    817.29x = 1,222.29 × 779.63
  4. Step 4: Simplify right side
    817.29x = 952,927.84
  5. Step 5: Solve for x
    x = 952,927.84/817.29
  6. Step 6: Final answer
    x = 1,165.96

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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.