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Finding the Fourth Proportional to 851.26, 1,174.72 and 502

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Solution

The fourth proportional to 851.26, 1,174.72 and 502 is: 692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.26 : 1,174.72 = 502 : x
  2. Step 2: Convert to fraction form
    851.26/1,174.72 = 502/x
  3. Step 3: Cross multiply
    851.26x = 1,174.72 × 502
  4. Step 4: Simplify right side
    851.26x = 589,709.44
  5. Step 5: Solve for x
    x = 589,709.44/851.26
  6. Step 6: Final answer
    x = 692.75

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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.