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Finding the Fourth Proportional to 712.82, 981.40 and 620.78

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Solution

The fourth proportional to 712.82, 981.40 and 620.78 is: 854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.82 : 981.40 = 620.78 : x
  2. Step 2: Convert to fraction form
    712.82/981.40 = 620.78/x
  3. Step 3: Cross multiply
    712.82x = 981.40 × 620.78
  4. Step 4: Simplify right side
    712.82x = 609,227.03
  5. Step 5: Solve for x
    x = 609,227.03/712.82
  6. Step 6: Final answer
    x = 854.68

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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.