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Finding the Fourth Proportional to 771.38, 1,157.57 and 284.43

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Solution

The fourth proportional to 771.38, 1,157.57 and 284.43 is: 426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.38 : 1,157.57 = 284.43 : x
  2. Step 2: Convert to fraction form
    771.38/1,157.57 = 284.43/x
  3. Step 3: Cross multiply
    771.38x = 1,157.57 × 284.43
  4. Step 4: Simplify right side
    771.38x = 329,246.21
  5. Step 5: Solve for x
    x = 329,246.21/771.38
  6. Step 6: Final answer
    x = 426.83

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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.