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Finding the Fourth Proportional to 1,049.58, 1,571.13 and 683.58

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Solution

The fourth proportional to 1,049.58, 1,571.13 and 683.58 is: 1,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.58 : 1,571.13 = 683.58 : x
  2. Step 2: Convert to fraction form
    1,049.58/1,571.13 = 683.58/x
  3. Step 3: Cross multiply
    1,049.58x = 1,571.13 × 683.58
  4. Step 4: Simplify right side
    1,049.58x = 1,073,993.05
  5. Step 5: Solve for x
    x = 1,073,993.05/1,049.58
  6. Step 6: Final answer
    x = 1,023.26

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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.