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Finding the Fourth Proportional to 755.85, 1,133.98 and 683.56

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Solution

The fourth proportional to 755.85, 1,133.98 and 683.56 is: 1,025.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.85 : 1,133.98 = 683.56 : x
  2. Step 2: Convert to fraction form
    755.85/1,133.98 = 683.56/x
  3. Step 3: Cross multiply
    755.85x = 1,133.98 × 683.56
  4. Step 4: Simplify right side
    755.85x = 775,143.37
  5. Step 5: Solve for x
    x = 775,143.37/755.85
  6. Step 6: Final answer
    x = 1,025.53

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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.