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Finding the Fourth Proportional to 782.63, 1,173.94 and 227.37

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Solution

The fourth proportional to 782.63, 1,173.94 and 227.37 is: 341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.63 : 1,173.94 = 227.37 : x
  2. Step 2: Convert to fraction form
    782.63/1,173.94 = 227.37/x
  3. Step 3: Cross multiply
    782.63x = 1,173.94 × 227.37
  4. Step 4: Simplify right side
    782.63x = 266,918.90
  5. Step 5: Solve for x
    x = 266,918.90/782.63
  6. Step 6: Final answer
    x = 341.05

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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.