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Finding the Fourth Proportional to 976.19, 1,463.27 and 428.63

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Solution

The fourth proportional to 976.19, 1,463.27 and 428.63 is: 642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.19 : 1,463.27 = 428.63 : x
  2. Step 2: Convert to fraction form
    976.19/1,463.27 = 428.63/x
  3. Step 3: Cross multiply
    976.19x = 1,463.27 × 428.63
  4. Step 4: Simplify right side
    976.19x = 627,191.96
  5. Step 5: Solve for x
    x = 627,191.96/976.19
  6. Step 6: Final answer
    x = 642.49

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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.