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Finding the Fourth Proportional to 844.40, 1,162.68 and 634.88

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Solution

The fourth proportional to 844.40, 1,162.68 and 634.88 is: 874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.40 : 1,162.68 = 634.88 : x
  2. Step 2: Convert to fraction form
    844.40/1,162.68 = 634.88/x
  3. Step 3: Cross multiply
    844.40x = 1,162.68 × 634.88
  4. Step 4: Simplify right side
    844.40x = 738,162.28
  5. Step 5: Solve for x
    x = 738,162.28/844.40
  6. Step 6: Final answer
    x = 874.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.