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Finding the Fourth Proportional to 684.24, 1,026.12 and 423.84

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Solution

The fourth proportional to 684.24, 1,026.12 and 423.84 is: 635.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.24 : 1,026.12 = 423.84 : x
  2. Step 2: Convert to fraction form
    684.24/1,026.12 = 423.84/x
  3. Step 3: Cross multiply
    684.24x = 1,026.12 × 423.84
  4. Step 4: Simplify right side
    684.24x = 434,910.70
  5. Step 5: Solve for x
    x = 434,910.70/684.24
  6. Step 6: Final answer
    x = 635.61

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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.