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Finding the Fourth Proportional to 1,039.24, 1,559.19 and 308.83

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Solution

The fourth proportional to 1,039.24, 1,559.19 and 308.83 is: 463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.24 : 1,559.19 = 308.83 : x
  2. Step 2: Convert to fraction form
    1,039.24/1,559.19 = 308.83/x
  3. Step 3: Cross multiply
    1,039.24x = 1,559.19 × 308.83
  4. Step 4: Simplify right side
    1,039.24x = 481,524.65
  5. Step 5: Solve for x
    x = 481,524.65/1,039.24
  6. Step 6: Final answer
    x = 463.34

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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.