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Finding the Fourth Proportional to 771.20, 1,156.74 and 360.24

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Solution

The fourth proportional to 771.20, 1,156.74 and 360.24 is: 540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.20 : 1,156.74 = 360.24 : x
  2. Step 2: Convert to fraction form
    771.20/1,156.74 = 360.24/x
  3. Step 3: Cross multiply
    771.20x = 1,156.74 × 360.24
  4. Step 4: Simplify right side
    771.20x = 416,704.02
  5. Step 5: Solve for x
    x = 416,704.02/771.20
  6. Step 6: Final answer
    x = 540.33

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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.