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Finding the Fourth Proportional to 982.56, 1,474.05 and 289.23

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Solution

The fourth proportional to 982.56, 1,474.05 and 289.23 is: 433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.56 : 1,474.05 = 289.23 : x
  2. Step 2: Convert to fraction form
    982.56/1,474.05 = 289.23/x
  3. Step 3: Cross multiply
    982.56x = 1,474.05 × 289.23
  4. Step 4: Simplify right side
    982.56x = 426,339.48
  5. Step 5: Solve for x
    x = 426,339.48/982.56
  6. Step 6: Final answer
    x = 433.91

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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.