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Finding the Fourth Proportional to 982.64, 1,355.99 and 584.29

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Solution

The fourth proportional to 982.64, 1,355.99 and 584.29 is: 806.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.64 : 1,355.99 = 584.29 : x
  2. Step 2: Convert to fraction form
    982.64/1,355.99 = 584.29/x
  3. Step 3: Cross multiply
    982.64x = 1,355.99 × 584.29
  4. Step 4: Simplify right side
    982.64x = 792,297.83
  5. Step 5: Solve for x
    x = 792,297.83/982.64
  6. Step 6: Final answer
    x = 806.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.