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Finding the Fourth Proportional to 676.50, 1,014.84 and 243.55

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Solution

The fourth proportional to 676.50, 1,014.84 and 243.55 is: 365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.50 : 1,014.84 = 243.55 : x
  2. Step 2: Convert to fraction form
    676.50/1,014.84 = 243.55/x
  3. Step 3: Cross multiply
    676.50x = 1,014.84 × 243.55
  4. Step 4: Simplify right side
    676.50x = 247,164.28
  5. Step 5: Solve for x
    x = 247,164.28/676.50
  6. Step 6: Final answer
    x = 365.36

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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.