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Finding the Fourth Proportional to 684.84, 1,027.76 and 274.10

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Solution

The fourth proportional to 684.84, 1,027.76 and 274.10 is: 411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.84 : 1,027.76 = 274.10 : x
  2. Step 2: Convert to fraction form
    684.84/1,027.76 = 274.10/x
  3. Step 3: Cross multiply
    684.84x = 1,027.76 × 274.10
  4. Step 4: Simplify right side
    684.84x = 281,709.02
  5. Step 5: Solve for x
    x = 281,709.02/684.84
  6. Step 6: Final answer
    x = 411.35

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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.