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Finding the Fourth Proportional to 1,131.30, 1,561.84 and 865.25

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Solution

The fourth proportional to 1,131.30, 1,561.84 and 865.25 is: 1,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.30 : 1,561.84 = 865.25 : x
  2. Step 2: Convert to fraction form
    1,131.30/1,561.84 = 865.25/x
  3. Step 3: Cross multiply
    1,131.30x = 1,561.84 × 865.25
  4. Step 4: Simplify right side
    1,131.30x = 1,351,377.94
  5. Step 5: Solve for x
    x = 1,351,377.94/1,131.30
  6. Step 6: Final answer
    x = 1,194.54

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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.