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Finding the Fourth Proportional to 1,039.33, 1,559.25 and 308.90

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Solution

The fourth proportional to 1,039.33, 1,559.25 and 308.90 is: 463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.33 : 1,559.25 = 308.90 : x
  2. Step 2: Convert to fraction form
    1,039.33/1,559.25 = 308.90/x
  3. Step 3: Cross multiply
    1,039.33x = 1,559.25 × 308.90
  4. Step 4: Simplify right side
    1,039.33x = 481,652.33
  5. Step 5: Solve for x
    x = 481,652.33/1,039.33
  6. Step 6: Final answer
    x = 463.43

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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.