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Finding the Fourth Proportional to 1,282.26, 1,770 and 1,105.92

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Solution

The fourth proportional to 1,282.26, 1,770 and 1,105.92 is: 1,526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.26 : 1,770 = 1,105.92 : x
  2. Step 2: Convert to fraction form
    1,282.26/1,770 = 1,105.92/x
  3. Step 3: Cross multiply
    1,282.26x = 1,770 × 1,105.92
  4. Step 4: Simplify right side
    1,282.26x = 1,957,469.55
  5. Step 5: Solve for x
    x = 1,957,469.55/1,282.26
  6. Step 6: Final answer
    x = 1,526.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.