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Finding the Fourth Proportional to 771.83, 1,157.57 and 244.77

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Solution

The fourth proportional to 771.83, 1,157.57 and 244.77 is: 367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.83 : 1,157.57 = 244.77 : x
  2. Step 2: Convert to fraction form
    771.83/1,157.57 = 244.77/x
  3. Step 3: Cross multiply
    771.83x = 1,157.57 × 244.77
  4. Step 4: Simplify right side
    771.83x = 283,338.41
  5. Step 5: Solve for x
    x = 283,338.41/771.83
  6. Step 6: Final answer
    x = 367.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.