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Finding the Fourth Proportional to 675, 1,012.50 and 162

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Solution

The fourth proportional to 675, 1,012.50 and 162 is: 243

Step by Step Solution

  1. Step 1: Write the proportion equation
    675 : 1,012.50 = 162 : x
  2. Step 2: Convert to fraction form
    675/1,012.50 = 162/x
  3. Step 3: Cross multiply
    675x = 1,012.50 × 162
  4. Step 4: Simplify right side
    675x = 164,025
  5. Step 5: Solve for x
    x = 164,025/675
  6. Step 6: Final answer
    x = 243

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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.