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Finding the Fourth Proportional to 847.77, 1,272.30 and 385.56

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Solution

The fourth proportional to 847.77, 1,272.30 and 385.56 is: 578.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.77 : 1,272.30 = 385.56 : x
  2. Step 2: Convert to fraction form
    847.77/1,272.30 = 385.56/x
  3. Step 3: Cross multiply
    847.77x = 1,272.30 × 385.56
  4. Step 4: Simplify right side
    847.77x = 490,546.54
  5. Step 5: Solve for x
    x = 490,546.54/847.77
  6. Step 6: Final answer
    x = 578.63

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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.