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Finding the Fourth Proportional to 768.72, 1,060.60 and 532.73

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Solution

The fourth proportional to 768.72, 1,060.60 and 532.73 is: 735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.72 : 1,060.60 = 532.73 : x
  2. Step 2: Convert to fraction form
    768.72/1,060.60 = 532.73/x
  3. Step 3: Cross multiply
    768.72x = 1,060.60 × 532.73
  4. Step 4: Simplify right side
    768.72x = 565,013.44
  5. Step 5: Solve for x
    x = 565,013.44/768.72
  6. Step 6: Final answer
    x = 735.01

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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.