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Finding the Fourth Proportional to 742.96, 1,025.34 and 411.42

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Solution

The fourth proportional to 742.96, 1,025.34 and 411.42 is: 567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.96 : 1,025.34 = 411.42 : x
  2. Step 2: Convert to fraction form
    742.96/1,025.34 = 411.42/x
  3. Step 3: Cross multiply
    742.96x = 1,025.34 × 411.42
  4. Step 4: Simplify right side
    742.96x = 421,845.38
  5. Step 5: Solve for x
    x = 421,845.38/742.96
  6. Step 6: Final answer
    x = 567.79

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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.