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Finding the Fourth Proportional to 782.34, 1,173.68 and 227.06

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Solution

The fourth proportional to 782.34, 1,173.68 and 227.06 is: 340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.34 : 1,173.68 = 227.06 : x
  2. Step 2: Convert to fraction form
    782.34/1,173.68 = 227.06/x
  3. Step 3: Cross multiply
    782.34x = 1,173.68 × 227.06
  4. Step 4: Simplify right side
    782.34x = 266,491.59
  5. Step 5: Solve for x
    x = 266,491.59/782.34
  6. Step 6: Final answer
    x = 340.63

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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.