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Finding the Fourth Proportional to 1,362.89, 1,882.04 and 865.69

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Solution

The fourth proportional to 1,362.89, 1,882.04 and 865.69 is: 1,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.89 : 1,882.04 = 865.69 : x
  2. Step 2: Convert to fraction form
    1,362.89/1,882.04 = 865.69/x
  3. Step 3: Cross multiply
    1,362.89x = 1,882.04 × 865.69
  4. Step 4: Simplify right side
    1,362.89x = 1,629,254.17
  5. Step 5: Solve for x
    x = 1,629,254.17/1,362.89
  6. Step 6: Final answer
    x = 1,195.44

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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.