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Finding the Fourth Proportional to 976.82, 1,466.33 and 514.49

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Solution

The fourth proportional to 976.82, 1,466.33 and 514.49 is: 772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.82 : 1,466.33 = 514.49 : x
  2. Step 2: Convert to fraction form
    976.82/1,466.33 = 514.49/x
  3. Step 3: Cross multiply
    976.82x = 1,466.33 × 514.49
  4. Step 4: Simplify right side
    976.82x = 754,402.22
  5. Step 5: Solve for x
    x = 754,402.22/976.82
  6. Step 6: Final answer
    x = 772.31

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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.