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Finding the Fourth Proportional to 712.70, 1,069.06 and 274.16

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Solution

The fourth proportional to 712.70, 1,069.06 and 274.16 is: 411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.70 : 1,069.06 = 274.16 : x
  2. Step 2: Convert to fraction form
    712.70/1,069.06 = 274.16/x
  3. Step 3: Cross multiply
    712.70x = 1,069.06 × 274.16
  4. Step 4: Simplify right side
    712.70x = 293,093.49
  5. Step 5: Solve for x
    x = 293,093.49/712.70
  6. Step 6: Final answer
    x = 411.24

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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.