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Finding the Fourth Proportional to 1,319.23, 1,979.09 and 441.65

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Solution

The fourth proportional to 1,319.23, 1,979.09 and 441.65 is: 662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.23 : 1,979.09 = 441.65 : x
  2. Step 2: Convert to fraction form
    1,319.23/1,979.09 = 441.65/x
  3. Step 3: Cross multiply
    1,319.23x = 1,979.09 × 441.65
  4. Step 4: Simplify right side
    1,319.23x = 874,052.99
  5. Step 5: Solve for x
    x = 874,052.99/1,319.23
  6. Step 6: Final answer
    x = 662.55

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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.