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Finding the Fourth Proportional to 835.50, 1,252.96 and 287.54

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Solution

The fourth proportional to 835.50, 1,252.96 and 287.54 is: 431.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.50 : 1,252.96 = 287.54 : x
  2. Step 2: Convert to fraction form
    835.50/1,252.96 = 287.54/x
  3. Step 3: Cross multiply
    835.50x = 1,252.96 × 287.54
  4. Step 4: Simplify right side
    835.50x = 360,276.12
  5. Step 5: Solve for x
    x = 360,276.12/835.50
  6. Step 6: Final answer
    x = 431.21

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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.