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Finding the Fourth Proportional to 842.89, 1,264.74 and 380.80

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Solution

The fourth proportional to 842.89, 1,264.74 and 380.80 is: 571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.89 : 1,264.74 = 380.80 : x
  2. Step 2: Convert to fraction form
    842.89/1,264.74 = 380.80/x
  3. Step 3: Cross multiply
    842.89x = 1,264.74 × 380.80
  4. Step 4: Simplify right side
    842.89x = 481,612.99
  5. Step 5: Solve for x
    x = 481,612.99/842.89
  6. Step 6: Final answer
    x = 571.38

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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.