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Finding the Fourth Proportional to 713.05, 1,069.37 and 274.27

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Solution

The fourth proportional to 713.05, 1,069.37 and 274.27 is: 411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.05 : 1,069.37 = 274.27 : x
  2. Step 2: Convert to fraction form
    713.05/1,069.37 = 274.27/x
  3. Step 3: Cross multiply
    713.05x = 1,069.37 × 274.27
  4. Step 4: Simplify right side
    713.05x = 293,296.64
  5. Step 5: Solve for x
    x = 293,296.64/713.05
  6. Step 6: Final answer
    x = 411.33

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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.