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Finding the Fourth Proportional to 828.70, 1,143.30 and 497

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Solution

The fourth proportional to 828.70, 1,143.30 and 497 is: 685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.70 : 1,143.30 = 497 : x
  2. Step 2: Convert to fraction form
    828.70/1,143.30 = 497/x
  3. Step 3: Cross multiply
    828.70x = 1,143.30 × 497
  4. Step 4: Simplify right side
    828.70x = 568,220.10
  5. Step 5: Solve for x
    x = 568,220.10/828.70
  6. Step 6: Final answer
    x = 685.68

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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.