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Finding the Fourth Proportional to 676.41, 1,014.66 and 243.57

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Solution

The fourth proportional to 676.41, 1,014.66 and 243.57 is: 365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.41 : 1,014.66 = 243.57 : x
  2. Step 2: Convert to fraction form
    676.41/1,014.66 = 243.57/x
  3. Step 3: Cross multiply
    676.41x = 1,014.66 × 243.57
  4. Step 4: Simplify right side
    676.41x = 247,139.52
  5. Step 5: Solve for x
    x = 247,139.52/676.41
  6. Step 6: Final answer
    x = 365.37

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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.