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Finding the Fourth Proportional to 811.70, 1,217.34 and 263.60

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Solution

The fourth proportional to 811.70, 1,217.34 and 263.60 is: 395.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.70 : 1,217.34 = 263.60 : x
  2. Step 2: Convert to fraction form
    811.70/1,217.34 = 263.60/x
  3. Step 3: Cross multiply
    811.70x = 1,217.34 × 263.60
  4. Step 4: Simplify right side
    811.70x = 320,890.82
  5. Step 5: Solve for x
    x = 320,890.82/811.70
  6. Step 6: Final answer
    x = 395.33

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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.