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Finding the Fourth Proportional to 982.28, 1,472.70 and 404.84

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Solution

The fourth proportional to 982.28, 1,472.70 and 404.84 is: 606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.28 : 1,472.70 = 404.84 : x
  2. Step 2: Convert to fraction form
    982.28/1,472.70 = 404.84/x
  3. Step 3: Cross multiply
    982.28x = 1,472.70 × 404.84
  4. Step 4: Simplify right side
    982.28x = 596,207.87
  5. Step 5: Solve for x
    x = 596,207.87/982.28
  6. Step 6: Final answer
    x = 606.96

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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.