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Finding the Fourth Proportional to 768.78, 1,060.87 and 419.47

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Solution

The fourth proportional to 768.78, 1,060.87 and 419.47 is: 578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.78 : 1,060.87 = 419.47 : x
  2. Step 2: Convert to fraction form
    768.78/1,060.87 = 419.47/x
  3. Step 3: Cross multiply
    768.78x = 1,060.87 × 419.47
  4. Step 4: Simplify right side
    768.78x = 445,003.14
  5. Step 5: Solve for x
    x = 445,003.14/768.78
  6. Step 6: Final answer
    x = 578.84

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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.