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Finding the Fourth Proportional to 693.88, 958.62 and 519.64

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Solution

The fourth proportional to 693.88, 958.62 and 519.64 is: 717.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.88 : 958.62 = 519.64 : x
  2. Step 2: Convert to fraction form
    693.88/958.62 = 519.64/x
  3. Step 3: Cross multiply
    693.88x = 958.62 × 519.64
  4. Step 4: Simplify right side
    693.88x = 498,137.30
  5. Step 5: Solve for x
    x = 498,137.30/693.88
  6. Step 6: Final answer
    x = 717.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.