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Finding the Fourth Proportional to 842.39, 1,263.79 and 265.27

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Solution

The fourth proportional to 842.39, 1,263.79 and 265.27 is: 397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.39 : 1,263.79 = 265.27 : x
  2. Step 2: Convert to fraction form
    842.39/1,263.79 = 265.27/x
  3. Step 3: Cross multiply
    842.39x = 1,263.79 × 265.27
  4. Step 4: Simplify right side
    842.39x = 335,239.25
  5. Step 5: Solve for x
    x = 335,239.25/842.39
  6. Step 6: Final answer
    x = 397.96

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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.