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Finding the Fourth Proportional to 843.58, 1,262.04 and 638.74

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Solution

The fourth proportional to 843.58, 1,262.04 and 638.74 is: 955.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.58 : 1,262.04 = 638.74 : x
  2. Step 2: Convert to fraction form
    843.58/1,262.04 = 638.74/x
  3. Step 3: Cross multiply
    843.58x = 1,262.04 × 638.74
  4. Step 4: Simplify right side
    843.58x = 806,115.43
  5. Step 5: Solve for x
    x = 806,115.43/843.58
  6. Step 6: Final answer
    x = 955.59

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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.