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Finding the Fourth Proportional to 1,219.39, 1,828.60 and 439.16

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Solution

The fourth proportional to 1,219.39, 1,828.60 and 439.16 is: 658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.39 : 1,828.60 = 439.16 : x
  2. Step 2: Convert to fraction form
    1,219.39/1,828.60 = 439.16/x
  3. Step 3: Cross multiply
    1,219.39x = 1,828.60 × 439.16
  4. Step 4: Simplify right side
    1,219.39x = 803,037.74
  5. Step 5: Solve for x
    x = 803,037.74/1,219.39
  6. Step 6: Final answer
    x = 658.56

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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.