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Finding the Fourth Proportional to 759.03, 1,047.41 and 427.44

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Solution

The fourth proportional to 759.03, 1,047.41 and 427.44 is: 589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.03 : 1,047.41 = 427.44 : x
  2. Step 2: Convert to fraction form
    759.03/1,047.41 = 427.44/x
  3. Step 3: Cross multiply
    759.03x = 1,047.41 × 427.44
  4. Step 4: Simplify right side
    759.03x = 447,704.93
  5. Step 5: Solve for x
    x = 447,704.93/759.03
  6. Step 6: Final answer
    x = 589.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.