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Finding the Fourth Proportional to 874.82, 1,311.27 and 412.23

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Solution

The fourth proportional to 874.82, 1,311.27 and 412.23 is: 617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.82 : 1,311.27 = 412.23 : x
  2. Step 2: Convert to fraction form
    874.82/1,311.27 = 412.23/x
  3. Step 3: Cross multiply
    874.82x = 1,311.27 × 412.23
  4. Step 4: Simplify right side
    874.82x = 540,544.83
  5. Step 5: Solve for x
    x = 540,544.83/874.82
  6. Step 6: Final answer
    x = 617.90

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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.