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Finding the Fourth Proportional to 805.82, 1,209 and 800.42

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Solution

The fourth proportional to 805.82, 1,209 and 800.42 is: 1,200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.82 : 1,209 = 800.42 : x
  2. Step 2: Convert to fraction form
    805.82/1,209 = 800.42/x
  3. Step 3: Cross multiply
    805.82x = 1,209 × 800.42
  4. Step 4: Simplify right side
    805.82x = 967,707.78
  5. Step 5: Solve for x
    x = 967,707.78/805.82
  6. Step 6: Final answer
    x = 1,200.90

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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.