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Finding the Fourth Proportional to 771.31, 1,157.46 and 284.35

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Solution

The fourth proportional to 771.31, 1,157.46 and 284.35 is: 426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.31 : 1,157.46 = 284.35 : x
  2. Step 2: Convert to fraction form
    771.31/1,157.46 = 284.35/x
  3. Step 3: Cross multiply
    771.31x = 1,157.46 × 284.35
  4. Step 4: Simplify right side
    771.31x = 329,123.75
  5. Step 5: Solve for x
    x = 329,123.75/771.31
  6. Step 6: Final answer
    x = 426.71

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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.