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Finding the Fourth Proportional to 771.01, 1,156.97 and 308.72

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Solution

The fourth proportional to 771.01, 1,156.97 and 308.72 is: 463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.01 : 1,156.97 = 308.72 : x
  2. Step 2: Convert to fraction form
    771.01/1,156.97 = 308.72/x
  3. Step 3: Cross multiply
    771.01x = 1,156.97 × 308.72
  4. Step 4: Simplify right side
    771.01x = 357,183.44
  5. Step 5: Solve for x
    x = 357,183.44/771.01
  6. Step 6: Final answer
    x = 463.27

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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.