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Finding the Fourth Proportional to 768.01, 1,059.87 and 418.71

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Solution

The fourth proportional to 768.01, 1,059.87 and 418.71 is: 577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.01 : 1,059.87 = 418.71 : x
  2. Step 2: Convert to fraction form
    768.01/1,059.87 = 418.71/x
  3. Step 3: Cross multiply
    768.01x = 1,059.87 × 418.71
  4. Step 4: Simplify right side
    768.01x = 443,773.92
  5. Step 5: Solve for x
    x = 443,773.92/768.01
  6. Step 6: Final answer
    x = 577.83

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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.