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Finding the Fourth Proportional to 768.53, 1,153.11 and 281.99

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Solution

The fourth proportional to 768.53, 1,153.11 and 281.99 is: 423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.53 : 1,153.11 = 281.99 : x
  2. Step 2: Convert to fraction form
    768.53/1,153.11 = 281.99/x
  3. Step 3: Cross multiply
    768.53x = 1,153.11 × 281.99
  4. Step 4: Simplify right side
    768.53x = 325,165.49
  5. Step 5: Solve for x
    x = 325,165.49/768.53
  6. Step 6: Final answer
    x = 423.10

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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.