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Finding the Fourth Proportional to 768.37, 1,060.23 and 484.75

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Solution

The fourth proportional to 768.37, 1,060.23 and 484.75 is: 668.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.37 : 1,060.23 = 484.75 : x
  2. Step 2: Convert to fraction form
    768.37/1,060.23 = 484.75/x
  3. Step 3: Cross multiply
    768.37x = 1,060.23 × 484.75
  4. Step 4: Simplify right side
    768.37x = 513,946.49
  5. Step 5: Solve for x
    x = 513,946.49/768.37
  6. Step 6: Final answer
    x = 668.88

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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.