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Finding the Fourth Proportional to 771.42, 1,156.17 and 386.78

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Solution

The fourth proportional to 771.42, 1,156.17 and 386.78 is: 579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.42 : 1,156.17 = 386.78 : x
  2. Step 2: Convert to fraction form
    771.42/1,156.17 = 386.78/x
  3. Step 3: Cross multiply
    771.42x = 1,156.17 × 386.78
  4. Step 4: Simplify right side
    771.42x = 447,183.43
  5. Step 5: Solve for x
    x = 447,183.43/771.42
  6. Step 6: Final answer
    x = 579.69

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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.