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Finding the Fourth Proportional to 843.84, 1,265.84 and 324.02

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Solution

The fourth proportional to 843.84, 1,265.84 and 324.02 is: 486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.84 : 1,265.84 = 324.02 : x
  2. Step 2: Convert to fraction form
    843.84/1,265.84 = 324.02/x
  3. Step 3: Cross multiply
    843.84x = 1,265.84 × 324.02
  4. Step 4: Simplify right side
    843.84x = 410,157.48
  5. Step 5: Solve for x
    x = 410,157.48/843.84
  6. Step 6: Final answer
    x = 486.06

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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.