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Finding the Fourth Proportional to 796.84, 1,197.42 and 472.30

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Solution

The fourth proportional to 796.84, 1,197.42 and 472.30 is: 709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.84 : 1,197.42 = 472.30 : x
  2. Step 2: Convert to fraction form
    796.84/1,197.42 = 472.30/x
  3. Step 3: Cross multiply
    796.84x = 1,197.42 × 472.30
  4. Step 4: Simplify right side
    796.84x = 565,541.47
  5. Step 5: Solve for x
    x = 565,541.47/796.84
  6. Step 6: Final answer
    x = 709.73

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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.