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Finding the Fourth Proportional to 805.23, 1,207.85 and 414.99

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Solution

The fourth proportional to 805.23, 1,207.85 and 414.99 is: 622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.23 : 1,207.85 = 414.99 : x
  2. Step 2: Convert to fraction form
    805.23/1,207.85 = 414.99/x
  3. Step 3: Cross multiply
    805.23x = 1,207.85 × 414.99
  4. Step 4: Simplify right side
    805.23x = 501,240.20
  5. Step 5: Solve for x
    x = 501,240.20/805.23
  6. Step 6: Final answer
    x = 622.48

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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.