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Finding the Fourth Proportional to 768.82, 1,060.94 and 454.18

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Solution

The fourth proportional to 768.82, 1,060.94 and 454.18 is: 626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.82 : 1,060.94 = 454.18 : x
  2. Step 2: Convert to fraction form
    768.82/1,060.94 = 454.18/x
  3. Step 3: Cross multiply
    768.82x = 1,060.94 × 454.18
  4. Step 4: Simplify right side
    768.82x = 481,857.73
  5. Step 5: Solve for x
    x = 481,857.73/768.82
  6. Step 6: Final answer
    x = 626.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.