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Finding the Fourth Proportional to 768.26, 1,060.62 and 547.54

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Solution

The fourth proportional to 768.26, 1,060.62 and 547.54 is: 755.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.26 : 1,060.62 = 547.54 : x
  2. Step 2: Convert to fraction form
    768.26/1,060.62 = 547.54/x
  3. Step 3: Cross multiply
    768.26x = 1,060.62 × 547.54
  4. Step 4: Simplify right side
    768.26x = 580,731.87
  5. Step 5: Solve for x
    x = 580,731.87/768.26
  6. Step 6: Final answer
    x = 755.91

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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.