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Finding the Fourth Proportional to 982.35, 1,355.54 and 562.82

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Solution

The fourth proportional to 982.35, 1,355.54 and 562.82 is: 776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.35 : 1,355.54 = 562.82 : x
  2. Step 2: Convert to fraction form
    982.35/1,355.54 = 562.82/x
  3. Step 3: Cross multiply
    982.35x = 1,355.54 × 562.82
  4. Step 4: Simplify right side
    982.35x = 762,915.43
  5. Step 5: Solve for x
    x = 762,915.43/982.35
  6. Step 6: Final answer
    x = 776.62

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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.