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Finding the Fourth Proportional to 843.72, 1,264.76 and 381.62

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Solution

The fourth proportional to 843.72, 1,264.76 and 381.62 is: 572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.72 : 1,264.76 = 381.62 : x
  2. Step 2: Convert to fraction form
    843.72/1,264.76 = 381.62/x
  3. Step 3: Cross multiply
    843.72x = 1,264.76 × 381.62
  4. Step 4: Simplify right side
    843.72x = 482,655.50
  5. Step 5: Solve for x
    x = 482,655.50/843.72
  6. Step 6: Final answer
    x = 572.05

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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.