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Finding the Fourth Proportional to 759.64, 1,138.97 and 613.57

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Solution

The fourth proportional to 759.64, 1,138.97 and 613.57 is: 919.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.64 : 1,138.97 = 613.57 : x
  2. Step 2: Convert to fraction form
    759.64/1,138.97 = 613.57/x
  3. Step 3: Cross multiply
    759.64x = 1,138.97 × 613.57
  4. Step 4: Simplify right side
    759.64x = 698,837.82
  5. Step 5: Solve for x
    x = 698,837.82/759.64
  6. Step 6: Final answer
    x = 919.96

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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.