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Finding the Fourth Proportional to 982.83, 1,474.07 and 324.50

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Solution

The fourth proportional to 982.83, 1,474.07 and 324.50 is: 486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.83 : 1,474.07 = 324.50 : x
  2. Step 2: Convert to fraction form
    982.83/1,474.07 = 324.50/x
  3. Step 3: Cross multiply
    982.83x = 1,474.07 × 324.50
  4. Step 4: Simplify right side
    982.83x = 478,335.72
  5. Step 5: Solve for x
    x = 478,335.72/982.83
  6. Step 6: Final answer
    x = 486.69

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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.