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Finding the Fourth Proportional to 1,219.69, 1,828.22 and 488.89

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Solution

The fourth proportional to 1,219.69, 1,828.22 and 488.89 is: 732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.69 : 1,828.22 = 488.89 : x
  2. Step 2: Convert to fraction form
    1,219.69/1,828.22 = 488.89/x
  3. Step 3: Cross multiply
    1,219.69x = 1,828.22 × 488.89
  4. Step 4: Simplify right side
    1,219.69x = 893,796.03
  5. Step 5: Solve for x
    x = 893,796.03/1,219.69
  6. Step 6: Final answer
    x = 732.81

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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.