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Finding the Fourth Proportional to 1,219.22, 1,828.34 and 439.08

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Solution

The fourth proportional to 1,219.22, 1,828.34 and 439.08 is: 658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.22 : 1,828.34 = 439.08 : x
  2. Step 2: Convert to fraction form
    1,219.22/1,828.34 = 439.08/x
  3. Step 3: Cross multiply
    1,219.22x = 1,828.34 × 439.08
  4. Step 4: Simplify right side
    1,219.22x = 802,787.53
  5. Step 5: Solve for x
    x = 802,787.53/1,219.22
  6. Step 6: Final answer
    x = 658.44

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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.