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Finding the Fourth Proportional to 796.34, 1,196.14 and 472.34

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Solution

The fourth proportional to 796.34, 1,196.14 and 472.34 is: 709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.34 : 1,196.14 = 472.34 : x
  2. Step 2: Convert to fraction form
    796.34/1,196.14 = 472.34/x
  3. Step 3: Cross multiply
    796.34x = 1,196.14 × 472.34
  4. Step 4: Simplify right side
    796.34x = 564,984.77
  5. Step 5: Solve for x
    x = 564,984.77/796.34
  6. Step 6: Final answer
    x = 709.48

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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.