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Finding the Fourth Proportional to 771.26, 1,156.80 and 728.42

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Solution

The fourth proportional to 771.26, 1,156.80 and 728.42 is: 1,092.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.26 : 1,156.80 = 728.42 : x
  2. Step 2: Convert to fraction form
    771.26/1,156.80 = 728.42/x
  3. Step 3: Cross multiply
    771.26x = 1,156.80 × 728.42
  4. Step 4: Simplify right side
    771.26x = 842,636.26
  5. Step 5: Solve for x
    x = 842,636.26/771.26
  6. Step 6: Final answer
    x = 1,092.54

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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.