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Finding the Fourth Proportional to 1,382.33, 2,074.31 and 504.75

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Solution

The fourth proportional to 1,382.33, 2,074.31 and 504.75 is: 757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.33 : 2,074.31 = 504.75 : x
  2. Step 2: Convert to fraction form
    1,382.33/2,074.31 = 504.75/x
  3. Step 3: Cross multiply
    1,382.33x = 2,074.31 × 504.75
  4. Step 4: Simplify right side
    1,382.33x = 1,047,005.45
  5. Step 5: Solve for x
    x = 1,047,005.45/1,382.33
  6. Step 6: Final answer
    x = 757.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.