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Finding the Fourth Proportional to 829.13, 1,143.88 and 497.43

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Solution

The fourth proportional to 829.13, 1,143.88 and 497.43 is: 686.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.13 : 1,143.88 = 497.43 : x
  2. Step 2: Convert to fraction form
    829.13/1,143.88 = 497.43/x
  3. Step 3: Cross multiply
    829.13x = 1,143.88 × 497.43
  4. Step 4: Simplify right side
    829.13x = 568,998.98
  5. Step 5: Solve for x
    x = 568,998.98/829.13
  6. Step 6: Final answer
    x = 686.26

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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.