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Finding the Fourth Proportional to 1,081.76, 1,618.32 and 865.76

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Solution

The fourth proportional to 1,081.76, 1,618.32 and 865.76 is: 1,295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.76 : 1,618.32 = 865.76 : x
  2. Step 2: Convert to fraction form
    1,081.76/1,618.32 = 865.76/x
  3. Step 3: Cross multiply
    1,081.76x = 1,618.32 × 865.76
  4. Step 4: Simplify right side
    1,081.76x = 1,401,076.72
  5. Step 5: Solve for x
    x = 1,401,076.72/1,081.76
  6. Step 6: Final answer
    x = 1,295.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.