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Finding the Fourth Proportional to 743.55, 1,026.17 and 411.99

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Solution

The fourth proportional to 743.55, 1,026.17 and 411.99 is: 568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.55 : 1,026.17 = 411.99 : x
  2. Step 2: Convert to fraction form
    743.55/1,026.17 = 411.99/x
  3. Step 3: Cross multiply
    743.55x = 1,026.17 × 411.99
  4. Step 4: Simplify right side
    743.55x = 422,771.78
  5. Step 5: Solve for x
    x = 422,771.78/743.55
  6. Step 6: Final answer
    x = 568.59

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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.