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Finding the Fourth Proportional to 676.72, 1,014.13 and 539.15

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Solution

The fourth proportional to 676.72, 1,014.13 and 539.15 is: 807.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.72 : 1,014.13 = 539.15 : x
  2. Step 2: Convert to fraction form
    676.72/1,014.13 = 539.15/x
  3. Step 3: Cross multiply
    676.72x = 1,014.13 × 539.15
  4. Step 4: Simplify right side
    676.72x = 546,765.49
  5. Step 5: Solve for x
    x = 546,765.49/676.72
  6. Step 6: Final answer
    x = 807.97

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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.