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Finding the Fourth Proportional to 843.85, 1,266.32 and 410.77

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Solution

The fourth proportional to 843.85, 1,266.32 and 410.77 is: 616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.85 : 1,266.32 = 410.77 : x
  2. Step 2: Convert to fraction form
    843.85/1,266.32 = 410.77/x
  3. Step 3: Cross multiply
    843.85x = 1,266.32 × 410.77
  4. Step 4: Simplify right side
    843.85x = 520,168.88
  5. Step 5: Solve for x
    x = 520,168.88/843.85
  6. Step 6: Final answer
    x = 616.42

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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.