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Finding the Fourth Proportional to 768.84, 1,153.67 and 766.41

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Solution

The fourth proportional to 768.84, 1,153.67 and 766.41 is: 1,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.84 : 1,153.67 = 766.41 : x
  2. Step 2: Convert to fraction form
    768.84/1,153.67 = 766.41/x
  3. Step 3: Cross multiply
    768.84x = 1,153.67 × 766.41
  4. Step 4: Simplify right side
    768.84x = 884,180.39
  5. Step 5: Solve for x
    x = 884,180.39/768.84
  6. Step 6: Final answer
    x = 1,150.02

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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.