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Finding the Fourth Proportional to 982.48, 1,355.96 and 589.62

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Solution

The fourth proportional to 982.48, 1,355.96 and 589.62 is: 813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.48 : 1,355.96 = 589.62 : x
  2. Step 2: Convert to fraction form
    982.48/1,355.96 = 589.62/x
  3. Step 3: Cross multiply
    982.48x = 1,355.96 × 589.62
  4. Step 4: Simplify right side
    982.48x = 799,501.14
  5. Step 5: Solve for x
    x = 799,501.14/982.48
  6. Step 6: Final answer
    x = 813.76

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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.