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Finding the Fourth Proportional to 982.59, 1,473.87 and 324.77

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Solution

The fourth proportional to 982.59, 1,473.87 and 324.77 is: 487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.59 : 1,473.87 = 324.77 : x
  2. Step 2: Convert to fraction form
    982.59/1,473.87 = 324.77/x
  3. Step 3: Cross multiply
    982.59x = 1,473.87 × 324.77
  4. Step 4: Simplify right side
    982.59x = 478,661.39
  5. Step 5: Solve for x
    x = 478,661.39/982.59
  6. Step 6: Final answer
    x = 487.14

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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.