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Finding the Fourth Proportional to 709.34, 1,063.37 and 276.39

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Solution

The fourth proportional to 709.34, 1,063.37 and 276.39 is: 414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.34 : 1,063.37 = 276.39 : x
  2. Step 2: Convert to fraction form
    709.34/1,063.37 = 276.39/x
  3. Step 3: Cross multiply
    709.34x = 1,063.37 × 276.39
  4. Step 4: Simplify right side
    709.34x = 293,905.53
  5. Step 5: Solve for x
    x = 293,905.53/709.34
  6. Step 6: Final answer
    x = 414.34

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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.