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Finding the Fourth Proportional to 775.23, 1,161.62 and 408.90

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Solution

The fourth proportional to 775.23, 1,161.62 and 408.90 is: 612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.23 : 1,161.62 = 408.90 : x
  2. Step 2: Convert to fraction form
    775.23/1,161.62 = 408.90/x
  3. Step 3: Cross multiply
    775.23x = 1,161.62 × 408.90
  4. Step 4: Simplify right side
    775.23x = 474,986.42
  5. Step 5: Solve for x
    x = 474,986.42/775.23
  6. Step 6: Final answer
    x = 612.70

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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.