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Finding the Fourth Proportional to 768.39, 1,153.17 and 443.94

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Solution

The fourth proportional to 768.39, 1,153.17 and 443.94 is: 666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.39 : 1,153.17 = 443.94 : x
  2. Step 2: Convert to fraction form
    768.39/1,153.17 = 443.94/x
  3. Step 3: Cross multiply
    768.39x = 1,153.17 × 443.94
  4. Step 4: Simplify right side
    768.39x = 511,938.29
  5. Step 5: Solve for x
    x = 511,938.29/768.39
  6. Step 6: Final answer
    x = 666.25

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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.