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Finding the Fourth Proportional to 771.33, 1,157.64 and 694.80

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Solution

The fourth proportional to 771.33, 1,157.64 and 694.80 is: 1,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.33 : 1,157.64 = 694.80 : x
  2. Step 2: Convert to fraction form
    771.33/1,157.64 = 694.80/x
  3. Step 3: Cross multiply
    771.33x = 1,157.64 × 694.80
  4. Step 4: Simplify right side
    771.33x = 804,328.27
  5. Step 5: Solve for x
    x = 804,328.27/771.33
  6. Step 6: Final answer
    x = 1,042.78

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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.