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Finding the Fourth Proportional to 851.26, 1,174.90 and 519.98

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Solution

The fourth proportional to 851.26, 1,174.90 and 519.98 is: 717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.26 : 1,174.90 = 519.98 : x
  2. Step 2: Convert to fraction form
    851.26/1,174.90 = 519.98/x
  3. Step 3: Cross multiply
    851.26x = 1,174.90 × 519.98
  4. Step 4: Simplify right side
    851.26x = 610,924.50
  5. Step 5: Solve for x
    x = 610,924.50/851.26
  6. Step 6: Final answer
    x = 717.67

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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.