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Finding the Fourth Proportional to 835.63, 1,252.63 and 402.55

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Solution

The fourth proportional to 835.63, 1,252.63 and 402.55 is: 603.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.63 : 1,252.63 = 402.55 : x
  2. Step 2: Convert to fraction form
    835.63/1,252.63 = 402.55/x
  3. Step 3: Cross multiply
    835.63x = 1,252.63 × 402.55
  4. Step 4: Simplify right side
    835.63x = 504,246.21
  5. Step 5: Solve for x
    x = 504,246.21/835.63
  6. Step 6: Final answer
    x = 603.43

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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.