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Finding the Fourth Proportional to 1,131.73, 1,561.83 and 634.48

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Solution

The fourth proportional to 1,131.73, 1,561.83 and 634.48 is: 875.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.73 : 1,561.83 = 634.48 : x
  2. Step 2: Convert to fraction form
    1,131.73/1,561.83 = 634.48/x
  3. Step 3: Cross multiply
    1,131.73x = 1,561.83 × 634.48
  4. Step 4: Simplify right side
    1,131.73x = 990,949.90
  5. Step 5: Solve for x
    x = 990,949.90/1,131.73
  6. Step 6: Final answer
    x = 875.61

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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.