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Finding the Fourth Proportional to 776.62, 1,164.21 and 343.54

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Solution

The fourth proportional to 776.62, 1,164.21 and 343.54 is: 514.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.62 : 1,164.21 = 343.54 : x
  2. Step 2: Convert to fraction form
    776.62/1,164.21 = 343.54/x
  3. Step 3: Cross multiply
    776.62x = 1,164.21 × 343.54
  4. Step 4: Simplify right side
    776.62x = 399,952.70
  5. Step 5: Solve for x
    x = 399,952.70/776.62
  6. Step 6: Final answer
    x = 514.99

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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.