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Finding the Fourth Proportional to 829.17, 1,143.86 and 497.48

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Solution

The fourth proportional to 829.17, 1,143.86 and 497.48 is: 686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.17 : 1,143.86 = 497.48 : x
  2. Step 2: Convert to fraction form
    829.17/1,143.86 = 497.48/x
  3. Step 3: Cross multiply
    829.17x = 1,143.86 × 497.48
  4. Step 4: Simplify right side
    829.17x = 569,039.27
  5. Step 5: Solve for x
    x = 569,039.27/829.17
  6. Step 6: Final answer
    x = 686.28

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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.