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Finding the Fourth Proportional to 771.29, 1,157.27 and 284.48

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Solution

The fourth proportional to 771.29, 1,157.27 and 284.48 is: 426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.29 : 1,157.27 = 284.48 : x
  2. Step 2: Convert to fraction form
    771.29/1,157.27 = 284.48/x
  3. Step 3: Cross multiply
    771.29x = 1,157.27 × 284.48
  4. Step 4: Simplify right side
    771.29x = 329,212.96
  5. Step 5: Solve for x
    x = 329,212.96/771.29
  6. Step 6: Final answer
    x = 426.84

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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.