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Finding the Fourth Proportional to 712.82, 983.30 and 447.66

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Solution

The fourth proportional to 712.82, 983.30 and 447.66 is: 617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.82 : 983.30 = 447.66 : x
  2. Step 2: Convert to fraction form
    712.82/983.30 = 447.66/x
  3. Step 3: Cross multiply
    712.82x = 983.30 × 447.66
  4. Step 4: Simplify right side
    712.82x = 440,181.84
  5. Step 5: Solve for x
    x = 440,181.84/712.82
  6. Step 6: Final answer
    x = 617.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.