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Finding the Fourth Proportional to 743.29, 1,025.71 and 411.73

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Solution

The fourth proportional to 743.29, 1,025.71 and 411.73 is: 568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.29 : 1,025.71 = 411.73 : x
  2. Step 2: Convert to fraction form
    743.29/1,025.71 = 411.73/x
  3. Step 3: Cross multiply
    743.29x = 1,025.71 × 411.73
  4. Step 4: Simplify right side
    743.29x = 422,315.58
  5. Step 5: Solve for x
    x = 422,315.58/743.29
  6. Step 6: Final answer
    x = 568.17

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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.