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Finding the Fourth Proportional to 712.56, 982.62 and 491.43

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Solution

The fourth proportional to 712.56, 982.62 and 491.43 is: 677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.56 : 982.62 = 491.43 : x
  2. Step 2: Convert to fraction form
    712.56/982.62 = 491.43/x
  3. Step 3: Cross multiply
    712.56x = 982.62 × 491.43
  4. Step 4: Simplify right side
    712.56x = 482,888.95
  5. Step 5: Solve for x
    x = 482,888.95/712.56
  6. Step 6: Final answer
    x = 677.68

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