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Finding the Fourth Proportional to 982.87, 1,356.22 and 589.84

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Solution

The fourth proportional to 982.87, 1,356.22 and 589.84 is: 813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.87 : 1,356.22 = 589.84 : x
  2. Step 2: Convert to fraction form
    982.87/1,356.22 = 589.84/x
  3. Step 3: Cross multiply
    982.87x = 1,356.22 × 589.84
  4. Step 4: Simplify right side
    982.87x = 799,952.80
  5. Step 5: Solve for x
    x = 799,952.80/982.87
  6. Step 6: Final answer
    x = 813.89

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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.