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Finding the Fourth Proportional to 828.27, 1,143 and 533.54

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Solution

The fourth proportional to 828.27, 1,143 and 533.54 is: 736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.27 : 1,143 = 533.54 : x
  2. Step 2: Convert to fraction form
    828.27/1,143 = 533.54/x
  3. Step 3: Cross multiply
    828.27x = 1,143 × 533.54
  4. Step 4: Simplify right side
    828.27x = 609,839.08
  5. Step 5: Solve for x
    x = 609,839.08/828.27
  6. Step 6: Final answer
    x = 736.28

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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.