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Finding the Fourth Proportional to 835.74, 1,252.76 and 287.62

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Solution

The fourth proportional to 835.74, 1,252.76 and 287.62 is: 431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.74 : 1,252.76 = 287.62 : x
  2. Step 2: Convert to fraction form
    835.74/1,252.76 = 287.62/x
  3. Step 3: Cross multiply
    835.74x = 1,252.76 × 287.62
  4. Step 4: Simplify right side
    835.74x = 360,314.26
  5. Step 5: Solve for x
    x = 360,314.26/835.74
  6. Step 6: Final answer
    x = 431.13

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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.