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Finding the Fourth Proportional to 828.41, 1,240.18 and 725.90

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Solution

The fourth proportional to 828.41, 1,240.18 and 725.90 is: 1,086.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.41 : 1,240.18 = 725.90 : x
  2. Step 2: Convert to fraction form
    828.41/1,240.18 = 725.90/x
  3. Step 3: Cross multiply
    828.41x = 1,240.18 × 725.90
  4. Step 4: Simplify right side
    828.41x = 900,246.66
  5. Step 5: Solve for x
    x = 900,246.66/828.41
  6. Step 6: Final answer
    x = 1,086.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.