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Finding the Fourth Proportional to 892.77, 1,338.75 and 579.92

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Solution

The fourth proportional to 892.77, 1,338.75 and 579.92 is: 869.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.77 : 1,338.75 = 579.92 : x
  2. Step 2: Convert to fraction form
    892.77/1,338.75 = 579.92/x
  3. Step 3: Cross multiply
    892.77x = 1,338.75 × 579.92
  4. Step 4: Simplify right side
    892.77x = 776,361.21
  5. Step 5: Solve for x
    x = 776,361.21/892.77
  6. Step 6: Final answer
    x = 869.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.