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Finding the Fourth Proportional to 828, 1,142.64 and 454.97

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Solution

The fourth proportional to 828, 1,142.64 and 454.97 is: 627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    828 : 1,142.64 = 454.97 : x
  2. Step 2: Convert to fraction form
    828/1,142.64 = 454.97/x
  3. Step 3: Cross multiply
    828x = 1,142.64 × 454.97
  4. Step 4: Simplify right side
    828x = 519,861.21
  5. Step 5: Solve for x
    x = 519,861.21/828
  6. Step 6: Final answer
    x = 627.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.