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Finding the Fourth Proportional to 684.97, 1,027.29 and 274.00

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Solution

The fourth proportional to 684.97, 1,027.29 and 274.00 is: 410.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.97 : 1,027.29 = 274.00 : x
  2. Step 2: Convert to fraction form
    684.97/1,027.29 = 274.00/x
  3. Step 3: Cross multiply
    684.97x = 1,027.29 × 274.00
  4. Step 4: Simplify right side
    684.97x = 281,475.92
  5. Step 5: Solve for x
    x = 281,475.92/684.97
  6. Step 6: Final answer
    x = 410.93

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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.