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Finding the Fourth Proportional to 844.53, 1,267.70 and 552.62

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Solution

The fourth proportional to 844.53, 1,267.70 and 552.62 is: 829.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.53 : 1,267.70 = 552.62 : x
  2. Step 2: Convert to fraction form
    844.53/1,267.70 = 552.62/x
  3. Step 3: Cross multiply
    844.53x = 1,267.70 × 552.62
  4. Step 4: Simplify right side
    844.53x = 700,553.61
  5. Step 5: Solve for x
    x = 700,553.61/844.53
  6. Step 6: Final answer
    x = 829.52

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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.