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Finding the Fourth Proportional to 982.44, 1,476.24 and 593.64

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Solution

The fourth proportional to 982.44, 1,476.24 and 593.64 is: 892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.44 : 1,476.24 = 593.64 : x
  2. Step 2: Convert to fraction form
    982.44/1,476.24 = 593.64/x
  3. Step 3: Cross multiply
    982.44x = 1,476.24 × 593.64
  4. Step 4: Simplify right side
    982.44x = 876,355.11
  5. Step 5: Solve for x
    x = 876,355.11/982.44
  6. Step 6: Final answer
    x = 892.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.