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Finding the Fourth Proportional to 1,234.47, 1,704.02 and 768.63

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Solution

The fourth proportional to 1,234.47, 1,704.02 and 768.63 is: 1,060.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.47 : 1,704.02 = 768.63 : x
  2. Step 2: Convert to fraction form
    1,234.47/1,704.02 = 768.63/x
  3. Step 3: Cross multiply
    1,234.47x = 1,704.02 × 768.63
  4. Step 4: Simplify right side
    1,234.47x = 1,309,760.89
  5. Step 5: Solve for x
    x = 1,309,760.89/1,234.47
  6. Step 6: Final answer
    x = 1,060.99

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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.