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Finding the Fourth Proportional to 842.07, 1,263.12 and 257.09

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Solution

The fourth proportional to 842.07, 1,263.12 and 257.09 is: 385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.07 : 1,263.12 = 257.09 : x
  2. Step 2: Convert to fraction form
    842.07/1,263.12 = 257.09/x
  3. Step 3: Cross multiply
    842.07x = 1,263.12 × 257.09
  4. Step 4: Simplify right side
    842.07x = 324,729.21
  5. Step 5: Solve for x
    x = 324,729.21/842.07
  6. Step 6: Final answer
    x = 385.63

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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.