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Finding the Fourth Proportional to 684.11, 1,026.51 and 274.05

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Solution

The fourth proportional to 684.11, 1,026.51 and 274.05 is: 411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.11 : 1,026.51 = 274.05 : x
  2. Step 2: Convert to fraction form
    684.11/1,026.51 = 274.05/x
  3. Step 3: Cross multiply
    684.11x = 1,026.51 × 274.05
  4. Step 4: Simplify right side
    684.11x = 281,315.07
  5. Step 5: Solve for x
    x = 281,315.07/684.11
  6. Step 6: Final answer
    x = 411.21

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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.