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Finding the Fourth Proportional to 742.74, 1,025 and 406.68

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Solution

The fourth proportional to 742.74, 1,025 and 406.68 is: 561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.74 : 1,025 = 406.68 : x
  2. Step 2: Convert to fraction form
    742.74/1,025 = 406.68/x
  3. Step 3: Cross multiply
    742.74x = 1,025 × 406.68
  4. Step 4: Simplify right side
    742.74x = 416,847
  5. Step 5: Solve for x
    x = 416,847/742.74
  6. Step 6: Final answer
    x = 561.23

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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.