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Finding the Fourth Proportional to 742.94, 1,025.25 and 411.34

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Solution

The fourth proportional to 742.94, 1,025.25 and 411.34 is: 567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.94 : 1,025.25 = 411.34 : x
  2. Step 2: Convert to fraction form
    742.94/1,025.25 = 411.34/x
  3. Step 3: Cross multiply
    742.94x = 1,025.25 × 411.34
  4. Step 4: Simplify right side
    742.94x = 421,726.34
  5. Step 5: Solve for x
    x = 421,726.34/742.94
  6. Step 6: Final answer
    x = 567.65

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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.