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Finding the Fourth Proportional to 976.56, 1,463.47 and 428.59

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Solution

The fourth proportional to 976.56, 1,463.47 and 428.59 is: 642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.56 : 1,463.47 = 428.59 : x
  2. Step 2: Convert to fraction form
    976.56/1,463.47 = 428.59/x
  3. Step 3: Cross multiply
    976.56x = 1,463.47 × 428.59
  4. Step 4: Simplify right side
    976.56x = 627,229.37
  5. Step 5: Solve for x
    x = 627,229.37/976.56
  6. Step 6: Final answer
    x = 642.29

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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.