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Finding the Fourth Proportional to 982.37, 1,469.94 and 592.60

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Solution

The fourth proportional to 982.37, 1,469.94 and 592.60 is: 886.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.37 : 1,469.94 = 592.60 : x
  2. Step 2: Convert to fraction form
    982.37/1,469.94 = 592.60/x
  3. Step 3: Cross multiply
    982.37x = 1,469.94 × 592.60
  4. Step 4: Simplify right side
    982.37x = 871,086.44
  5. Step 5: Solve for x
    x = 871,086.44/982.37
  6. Step 6: Final answer
    x = 886.72

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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.