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Finding the Fourth Proportional to 847.53, 1,271.49 and 299.73

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Solution

The fourth proportional to 847.53, 1,271.49 and 299.73 is: 449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.53 : 1,271.49 = 299.73 : x
  2. Step 2: Convert to fraction form
    847.53/1,271.49 = 299.73/x
  3. Step 3: Cross multiply
    847.53x = 1,271.49 × 299.73
  4. Step 4: Simplify right side
    847.53x = 381,103.70
  5. Step 5: Solve for x
    x = 381,103.70/847.53
  6. Step 6: Final answer
    x = 449.66

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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.