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Finding the Fourth Proportional to 976.63, 1,462.83 and 822.88

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Solution

The fourth proportional to 976.63, 1,462.83 and 822.88 is: 1,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.63 : 1,462.83 = 822.88 : x
  2. Step 2: Convert to fraction form
    976.63/1,462.83 = 822.88/x
  3. Step 3: Cross multiply
    976.63x = 1,462.83 × 822.88
  4. Step 4: Simplify right side
    976.63x = 1,203,733.55
  5. Step 5: Solve for x
    x = 1,203,733.55/976.63
  6. Step 6: Final answer
    x = 1,232.54

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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.