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Finding the Fourth Proportional to 684.95, 1,027.34 and 274.33

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Solution

The fourth proportional to 684.95, 1,027.34 and 274.33 is: 411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.95 : 1,027.34 = 274.33 : x
  2. Step 2: Convert to fraction form
    684.95/1,027.34 = 274.33/x
  3. Step 3: Cross multiply
    684.95x = 1,027.34 × 274.33
  4. Step 4: Simplify right side
    684.95x = 281,823.67
  5. Step 5: Solve for x
    x = 281,823.67/684.95
  6. Step 6: Final answer
    x = 411.45

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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.