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Finding the Fourth Proportional to 828.64, 1,143.52 and 455.64

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Solution

The fourth proportional to 828.64, 1,143.52 and 455.64 is: 628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.64 : 1,143.52 = 455.64 : x
  2. Step 2: Convert to fraction form
    828.64/1,143.52 = 455.64/x
  3. Step 3: Cross multiply
    828.64x = 1,143.52 × 455.64
  4. Step 4: Simplify right side
    828.64x = 521,028.32
  5. Step 5: Solve for x
    x = 521,028.32/828.64
  6. Step 6: Final answer
    x = 628.78

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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.