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Finding the Fourth Proportional to 982.21, 1,355.61 and 562.48

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Solution

The fourth proportional to 982.21, 1,355.61 and 562.48 is: 776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.21 : 1,355.61 = 562.48 : x
  2. Step 2: Convert to fraction form
    982.21/1,355.61 = 562.48/x
  3. Step 3: Cross multiply
    982.21x = 1,355.61 × 562.48
  4. Step 4: Simplify right side
    982.21x = 762,503.51
  5. Step 5: Solve for x
    x = 762,503.51/982.21
  6. Step 6: Final answer
    x = 776.31

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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.