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Finding the Fourth Proportional to 828.64, 1,144.05 and 514.23

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Solution

The fourth proportional to 828.64, 1,144.05 and 514.23 is: 709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.64 : 1,144.05 = 514.23 : x
  2. Step 2: Convert to fraction form
    828.64/1,144.05 = 514.23/x
  3. Step 3: Cross multiply
    828.64x = 1,144.05 × 514.23
  4. Step 4: Simplify right side
    828.64x = 588,304.83
  5. Step 5: Solve for x
    x = 588,304.83/828.64
  6. Step 6: Final answer
    x = 709.97

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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.