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Finding the Fourth Proportional to 843, 1,265.04 and 330

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Solution

The fourth proportional to 843, 1,265.04 and 330 is: 495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    843 : 1,265.04 = 330 : x
  2. Step 2: Convert to fraction form
    843/1,265.04 = 330/x
  3. Step 3: Cross multiply
    843x = 1,265.04 × 330
  4. Step 4: Simplify right side
    843x = 417,463.20
  5. Step 5: Solve for x
    x = 417,463.20/843
  6. Step 6: Final answer
    x = 495.21

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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.