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Finding the Fourth Proportional to 756, 1,134 and 243

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Solution

The fourth proportional to 756, 1,134 and 243 is: 364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    756 : 1,134 = 243 : x
  2. Step 2: Convert to fraction form
    756/1,134 = 243/x
  3. Step 3: Cross multiply
    756x = 1,134 × 243
  4. Step 4: Simplify right side
    756x = 275,562
  5. Step 5: Solve for x
    x = 275,562/756
  6. Step 6: Final answer
    x = 364.50

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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.