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Finding the Fourth Proportional to 743.54, 1,026.08 and 411.97

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Solution

The fourth proportional to 743.54, 1,026.08 and 411.97 is: 568.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.54 : 1,026.08 = 411.97 : x
  2. Step 2: Convert to fraction form
    743.54/1,026.08 = 411.97/x
  3. Step 3: Cross multiply
    743.54x = 1,026.08 × 411.97
  4. Step 4: Simplify right side
    743.54x = 422,709.55
  5. Step 5: Solve for x
    x = 422,709.55/743.54
  6. Step 6: Final answer
    x = 568.51

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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.