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Finding the Fourth Proportional to 771.71, 1,157.54 and 251.69

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Solution

The fourth proportional to 771.71, 1,157.54 and 251.69 is: 377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.71 : 1,157.54 = 251.69 : x
  2. Step 2: Convert to fraction form
    771.71/1,157.54 = 251.69/x
  3. Step 3: Cross multiply
    771.71x = 1,157.54 × 251.69
  4. Step 4: Simplify right side
    771.71x = 291,334.20
  5. Step 5: Solve for x
    x = 291,334.20/771.71
  6. Step 6: Final answer
    x = 377.52

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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.