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Finding the Fourth Proportional to 976.41, 1,462.05 and 821.16

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Solution

The fourth proportional to 976.41, 1,462.05 and 821.16 is: 1,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.41 : 1,462.05 = 821.16 : x
  2. Step 2: Convert to fraction form
    976.41/1,462.05 = 821.16/x
  3. Step 3: Cross multiply
    976.41x = 1,462.05 × 821.16
  4. Step 4: Simplify right side
    976.41x = 1,200,576.98
  5. Step 5: Solve for x
    x = 1,200,576.98/976.41
  6. Step 6: Final answer
    x = 1,229.58

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Why These Related Problems?

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