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Finding the Fourth Proportional to 976.31, 1,460.41 and 743.43

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Solution

The fourth proportional to 976.31, 1,460.41 and 743.43 is: 1,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.31 : 1,460.41 = 743.43 : x
  2. Step 2: Convert to fraction form
    976.31/1,460.41 = 743.43/x
  3. Step 3: Cross multiply
    976.31x = 1,460.41 × 743.43
  4. Step 4: Simplify right side
    976.31x = 1,085,710.75
  5. Step 5: Solve for x
    x = 1,085,710.75/976.31
  6. Step 6: Final answer
    x = 1,112.06

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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.