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Finding the Fourth Proportional to 771.60, 1,157.36 and 360.83

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Solution

The fourth proportional to 771.60, 1,157.36 and 360.83 is: 541.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.60 : 1,157.36 = 360.83 : x
  2. Step 2: Convert to fraction form
    771.60/1,157.36 = 360.83/x
  3. Step 3: Cross multiply
    771.60x = 1,157.36 × 360.83
  4. Step 4: Simplify right side
    771.60x = 417,611.30
  5. Step 5: Solve for x
    x = 417,611.30/771.60
  6. Step 6: Final answer
    x = 541.23

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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.