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Finding the Fourth Proportional to 958.78, 1,436.82 and 548.20

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Solution

The fourth proportional to 958.78, 1,436.82 and 548.20 is: 821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.78 : 1,436.82 = 548.20 : x
  2. Step 2: Convert to fraction form
    958.78/1,436.82 = 548.20/x
  3. Step 3: Cross multiply
    958.78x = 1,436.82 × 548.20
  4. Step 4: Simplify right side
    958.78x = 787,664.72
  5. Step 5: Solve for x
    x = 787,664.72/958.78
  6. Step 6: Final answer
    x = 821.53

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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.