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Finding the Fourth Proportional to 982.66, 1,355.52 and 584.22

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Solution

The fourth proportional to 982.66, 1,355.52 and 584.22 is: 805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.66 : 1,355.52 = 584.22 : x
  2. Step 2: Convert to fraction form
    982.66/1,355.52 = 584.22/x
  3. Step 3: Cross multiply
    982.66x = 1,355.52 × 584.22
  4. Step 4: Simplify right side
    982.66x = 791,921.89
  5. Step 5: Solve for x
    x = 791,921.89/982.66
  6. Step 6: Final answer
    x = 805.90

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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.