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Finding the Fourth Proportional to 759.54, 1,137.25 and 629.94

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Solution

The fourth proportional to 759.54, 1,137.25 and 629.94 is: 943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.54 : 1,137.25 = 629.94 : x
  2. Step 2: Convert to fraction form
    759.54/1,137.25 = 629.94/x
  3. Step 3: Cross multiply
    759.54x = 1,137.25 × 629.94
  4. Step 4: Simplify right side
    759.54x = 716,396.12
  5. Step 5: Solve for x
    x = 716,396.12/759.54
  6. Step 6: Final answer
    x = 943.20

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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.