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Finding the Fourth Proportional to 713.14, 1,069.76 and 226.24

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Solution

The fourth proportional to 713.14, 1,069.76 and 226.24 is: 339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.14 : 1,069.76 = 226.24 : x
  2. Step 2: Convert to fraction form
    713.14/1,069.76 = 226.24/x
  3. Step 3: Cross multiply
    713.14x = 1,069.76 × 226.24
  4. Step 4: Simplify right side
    713.14x = 242,020.39
  5. Step 5: Solve for x
    x = 242,020.39/713.14
  6. Step 6: Final answer
    x = 339.37

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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.