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Finding the Fourth Proportional to 712.32, 982.98 and 401.82

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Solution

The fourth proportional to 712.32, 982.98 and 401.82 is: 554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.32 : 982.98 = 401.82 : x
  2. Step 2: Convert to fraction form
    712.32/982.98 = 401.82/x
  3. Step 3: Cross multiply
    712.32x = 982.98 × 401.82
  4. Step 4: Simplify right side
    712.32x = 394,981.02
  5. Step 5: Solve for x
    x = 394,981.02/712.32
  6. Step 6: Final answer
    x = 554.50

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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.