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Finding the Fourth Proportional to 835.28, 1,252.12 and 744.08

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Solution

The fourth proportional to 835.28, 1,252.12 and 744.08 is: 1,115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.28 : 1,252.12 = 744.08 : x
  2. Step 2: Convert to fraction form
    835.28/1,252.12 = 744.08/x
  3. Step 3: Cross multiply
    835.28x = 1,252.12 × 744.08
  4. Step 4: Simplify right side
    835.28x = 931,677.45
  5. Step 5: Solve for x
    x = 931,677.45/835.28
  6. Step 6: Final answer
    x = 1,115.41

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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.