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Finding the Fourth Proportional to 712.82, 1,069.41 and 274.07

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Solution

The fourth proportional to 712.82, 1,069.41 and 274.07 is: 411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.82 : 1,069.41 = 274.07 : x
  2. Step 2: Convert to fraction form
    712.82/1,069.41 = 274.07/x
  3. Step 3: Cross multiply
    712.82x = 1,069.41 × 274.07
  4. Step 4: Simplify right side
    712.82x = 293,093.20
  5. Step 5: Solve for x
    x = 293,093.20/712.82
  6. Step 6: Final answer
    x = 411.17

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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.