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Finding the Fourth Proportional to 842.25, 1,263.44 and 265.13

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Solution

The fourth proportional to 842.25, 1,263.44 and 265.13 is: 397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.25 : 1,263.44 = 265.13 : x
  2. Step 2: Convert to fraction form
    842.25/1,263.44 = 265.13/x
  3. Step 3: Cross multiply
    842.25x = 1,263.44 × 265.13
  4. Step 4: Simplify right side
    842.25x = 334,970.19
  5. Step 5: Solve for x
    x = 334,970.19/842.25
  6. Step 6: Final answer
    x = 397.71

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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.