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Finding the Fourth Proportional to 960.67, 1,438.69 and 548.56

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Solution

The fourth proportional to 960.67, 1,438.69 and 548.56 is: 821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.67 : 1,438.69 = 548.56 : x
  2. Step 2: Convert to fraction form
    960.67/1,438.69 = 548.56/x
  3. Step 3: Cross multiply
    960.67x = 1,438.69 × 548.56
  4. Step 4: Simplify right side
    960.67x = 789,206.25
  5. Step 5: Solve for x
    x = 789,206.25/960.67
  6. Step 6: Final answer
    x = 821.52

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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.