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Finding the Fourth Proportional to 982.08, 1,471.92 and 461.40

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Solution

The fourth proportional to 982.08, 1,471.92 and 461.40 is: 691.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.08 : 1,471.92 = 461.40 : x
  2. Step 2: Convert to fraction form
    982.08/1,471.92 = 461.40/x
  3. Step 3: Cross multiply
    982.08x = 1,471.92 × 461.40
  4. Step 4: Simplify right side
    982.08x = 679,143.89
  5. Step 5: Solve for x
    x = 679,143.89/982.08
  6. Step 6: Final answer
    x = 691.54

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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.