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Finding the Fourth Proportional to 768.88, 1,153.22 and 378.78

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Solution

The fourth proportional to 768.88, 1,153.22 and 378.78 is: 568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.88 : 1,153.22 = 378.78 : x
  2. Step 2: Convert to fraction form
    768.88/1,153.22 = 378.78/x
  3. Step 3: Cross multiply
    768.88x = 1,153.22 × 378.78
  4. Step 4: Simplify right side
    768.88x = 436,810.45
  5. Step 5: Solve for x
    x = 436,810.45/768.88
  6. Step 6: Final answer
    x = 568.11

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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.