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Finding the Fourth Proportional to 685.48, 1,027.59 and 274.54

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Solution

The fourth proportional to 685.48, 1,027.59 and 274.54 is: 411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.48 : 1,027.59 = 274.54 : x
  2. Step 2: Convert to fraction form
    685.48/1,027.59 = 274.54/x
  3. Step 3: Cross multiply
    685.48x = 1,027.59 × 274.54
  4. Step 4: Simplify right side
    685.48x = 282,114.56
  5. Step 5: Solve for x
    x = 282,114.56/685.48
  6. Step 6: Final answer
    x = 411.56

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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.