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Finding the Fourth Proportional to 828.29, 1,143.07 and 455.28

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Solution

The fourth proportional to 828.29, 1,143.07 and 455.28 is: 628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.29 : 1,143.07 = 455.28 : x
  2. Step 2: Convert to fraction form
    828.29/1,143.07 = 455.28/x
  3. Step 3: Cross multiply
    828.29x = 1,143.07 × 455.28
  4. Step 4: Simplify right side
    828.29x = 520,418.63
  5. Step 5: Solve for x
    x = 520,418.63/828.29
  6. Step 6: Final answer
    x = 628.31

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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.