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Finding the Fourth Proportional to 768.37, 1,060.01 and 519.60

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Solution

The fourth proportional to 768.37, 1,060.01 and 519.60 is: 716.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.37 : 1,060.01 = 519.60 : x
  2. Step 2: Convert to fraction form
    768.37/1,060.01 = 519.60/x
  3. Step 3: Cross multiply
    768.37x = 1,060.01 × 519.60
  4. Step 4: Simplify right side
    768.37x = 550,773.30
  5. Step 5: Solve for x
    x = 550,773.30/768.37
  6. Step 6: Final answer
    x = 716.81

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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.