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Finding the Fourth Proportional to 1,219.36, 1,829.21 and 439.21

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Solution

The fourth proportional to 1,219.36, 1,829.21 and 439.21 is: 658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.36 : 1,829.21 = 439.21 : x
  2. Step 2: Convert to fraction form
    1,219.36/1,829.21 = 439.21/x
  3. Step 3: Cross multiply
    1,219.36x = 1,829.21 × 439.21
  4. Step 4: Simplify right side
    1,219.36x = 803,407.32
  5. Step 5: Solve for x
    x = 803,407.32/1,219.36
  6. Step 6: Final answer
    x = 658.88

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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.