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Finding the Fourth Proportional to 1,085.25, 1,627.87 and 263.52

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Solution

The fourth proportional to 1,085.25, 1,627.87 and 263.52 is: 395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.25 : 1,627.87 = 263.52 : x
  2. Step 2: Convert to fraction form
    1,085.25/1,627.87 = 263.52/x
  3. Step 3: Cross multiply
    1,085.25x = 1,627.87 × 263.52
  4. Step 4: Simplify right side
    1,085.25x = 428,976.30
  5. Step 5: Solve for x
    x = 428,976.30/1,085.25
  6. Step 6: Final answer
    x = 395.28

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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.