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Finding the Fourth Proportional to 982.60, 1,356.01 and 584.31

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Solution

The fourth proportional to 982.60, 1,356.01 and 584.31 is: 806.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.60 : 1,356.01 = 584.31 : x
  2. Step 2: Convert to fraction form
    982.60/1,356.01 = 584.31/x
  3. Step 3: Cross multiply
    982.60x = 1,356.01 × 584.31
  4. Step 4: Simplify right side
    982.60x = 792,323.42
  5. Step 5: Solve for x
    x = 792,323.42/982.60
  6. Step 6: Final answer
    x = 806.35

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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.