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Finding the Fourth Proportional to 835.06, 1,251.63 and 449.50

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Solution

The fourth proportional to 835.06, 1,251.63 and 449.50 is: 673.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.06 : 1,251.63 = 449.50 : x
  2. Step 2: Convert to fraction form
    835.06/1,251.63 = 449.50/x
  3. Step 3: Cross multiply
    835.06x = 1,251.63 × 449.50
  4. Step 4: Simplify right side
    835.06x = 562,607.69
  5. Step 5: Solve for x
    x = 562,607.69/835.06
  6. Step 6: Final answer
    x = 673.73

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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.