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Finding the Fourth Proportional to 982.35, 1,355.49 and 589.38

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Solution

The fourth proportional to 982.35, 1,355.49 and 589.38 is: 813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.35 : 1,355.49 = 589.38 : x
  2. Step 2: Convert to fraction form
    982.35/1,355.49 = 589.38/x
  3. Step 3: Cross multiply
    982.35x = 1,355.49 × 589.38
  4. Step 4: Simplify right side
    982.35x = 798,898.70
  5. Step 5: Solve for x
    x = 798,898.70/982.35
  6. Step 6: Final answer
    x = 813.25

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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.