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Finding the Fourth Proportional to 844.52, 1,263.44 and 792.68

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Solution

The fourth proportional to 844.52, 1,263.44 and 792.68 is: 1,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.52 : 1,263.44 = 792.68 : x
  2. Step 2: Convert to fraction form
    844.52/1,263.44 = 792.68/x
  3. Step 3: Cross multiply
    844.52x = 1,263.44 × 792.68
  4. Step 4: Simplify right side
    844.52x = 1,001,508.76
  5. Step 5: Solve for x
    x = 1,001,508.76/844.52
  6. Step 6: Final answer
    x = 1,185.89

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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.