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Finding the Fourth Proportional to 1,364.78, 1,882.24 and 867.58

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Solution

The fourth proportional to 1,364.78, 1,882.24 and 867.58 is: 1,196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.78 : 1,882.24 = 867.58 : x
  2. Step 2: Convert to fraction form
    1,364.78/1,882.24 = 867.58/x
  3. Step 3: Cross multiply
    1,364.78x = 1,882.24 × 867.58
  4. Step 4: Simplify right side
    1,364.78x = 1,632,986.90
  5. Step 5: Solve for x
    x = 1,632,986.90/1,364.78
  6. Step 6: Final answer
    x = 1,196.52

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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.