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Finding the Fourth Proportional to 771.88, 1,157.82 and 258.88

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Solution

The fourth proportional to 771.88, 1,157.82 and 258.88 is: 388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.88 : 1,157.82 = 258.88 : x
  2. Step 2: Convert to fraction form
    771.88/1,157.82 = 258.88/x
  3. Step 3: Cross multiply
    771.88x = 1,157.82 × 258.88
  4. Step 4: Simplify right side
    771.88x = 299,736.44
  5. Step 5: Solve for x
    x = 299,736.44/771.88
  6. Step 6: Final answer
    x = 388.32

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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.