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Finding the Fourth Proportional to 685.23, 1,027.86 and 274.38

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Solution

The fourth proportional to 685.23, 1,027.86 and 274.38 is: 411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.23 : 1,027.86 = 274.38 : x
  2. Step 2: Convert to fraction form
    685.23/1,027.86 = 274.38/x
  3. Step 3: Cross multiply
    685.23x = 1,027.86 × 274.38
  4. Step 4: Simplify right side
    685.23x = 282,024.23
  5. Step 5: Solve for x
    x = 282,024.23/685.23
  6. Step 6: Final answer
    x = 411.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.