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Finding the Fourth Proportional to 757.89, 1,137.11 and 392.85

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Solution

The fourth proportional to 757.89, 1,137.11 and 392.85 is: 589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.89 : 1,137.11 = 392.85 : x
  2. Step 2: Convert to fraction form
    757.89/1,137.11 = 392.85/x
  3. Step 3: Cross multiply
    757.89x = 1,137.11 × 392.85
  4. Step 4: Simplify right side
    757.89x = 446,711.70
  5. Step 5: Solve for x
    x = 446,711.70/757.89
  6. Step 6: Final answer
    x = 589.41

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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.