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Finding the Fourth Proportional to 676.44, 1,014.90 and 579.84

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Solution

The fourth proportional to 676.44, 1,014.90 and 579.84 is: 869.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.44 : 1,014.90 = 579.84 : x
  2. Step 2: Convert to fraction form
    676.44/1,014.90 = 579.84/x
  3. Step 3: Cross multiply
    676.44x = 1,014.90 × 579.84
  4. Step 4: Simplify right side
    676.44x = 588,479.62
  5. Step 5: Solve for x
    x = 588,479.62/676.44
  6. Step 6: Final answer
    x = 869.97

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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.