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Finding the Fourth Proportional to 1,382.43, 2,073.69 and 505.11

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Solution

The fourth proportional to 1,382.43, 2,073.69 and 505.11 is: 757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.43 : 2,073.69 = 505.11 : x
  2. Step 2: Convert to fraction form
    1,382.43/2,073.69 = 505.11/x
  3. Step 3: Cross multiply
    1,382.43x = 2,073.69 × 505.11
  4. Step 4: Simplify right side
    1,382.43x = 1,047,441.56
  5. Step 5: Solve for x
    x = 1,047,441.56/1,382.43
  6. Step 6: Final answer
    x = 757.68

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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.