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Finding the Fourth Proportional to 982.21, 1,355.49 and 562.60

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Solution

The fourth proportional to 982.21, 1,355.49 and 562.60 is: 776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.21 : 1,355.49 = 562.60 : x
  2. Step 2: Convert to fraction form
    982.21/1,355.49 = 562.60/x
  3. Step 3: Cross multiply
    982.21x = 1,355.49 × 562.60
  4. Step 4: Simplify right side
    982.21x = 762,598.67
  5. Step 5: Solve for x
    x = 762,598.67/982.21
  6. Step 6: Final answer
    x = 776.41

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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.