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Finding the Fourth Proportional to 811.20, 1,217.00 and 263.39

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Solution

The fourth proportional to 811.20, 1,217.00 and 263.39 is: 395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.20 : 1,217.00 = 263.39 : x
  2. Step 2: Convert to fraction form
    811.20/1,217.00 = 263.39/x
  3. Step 3: Cross multiply
    811.20x = 1,217.00 × 263.39
  4. Step 4: Simplify right side
    811.20x = 320,538.23
  5. Step 5: Solve for x
    x = 320,538.23/811.20
  6. Step 6: Final answer
    x = 395.14

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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.