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Finding the Fourth Proportional to 982.60, 1,355.86 and 589.48

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Solution

The fourth proportional to 982.60, 1,355.86 and 589.48 is: 813.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.60 : 1,355.86 = 589.48 : x
  2. Step 2: Convert to fraction form
    982.60/1,355.86 = 589.48/x
  3. Step 3: Cross multiply
    982.60x = 1,355.86 × 589.48
  4. Step 4: Simplify right side
    982.60x = 799,252.35
  5. Step 5: Solve for x
    x = 799,252.35/982.60
  6. Step 6: Final answer
    x = 813.41

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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.