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Finding the Fourth Proportional to 1,334.72, 1,842.78 and 862.82

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Solution

The fourth proportional to 1,334.72, 1,842.78 and 862.82 is: 1,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.72 : 1,842.78 = 862.82 : x
  2. Step 2: Convert to fraction form
    1,334.72/1,842.78 = 862.82/x
  3. Step 3: Cross multiply
    1,334.72x = 1,842.78 × 862.82
  4. Step 4: Simplify right side
    1,334.72x = 1,589,987.44
  5. Step 5: Solve for x
    x = 1,589,987.44/1,334.72
  6. Step 6: Final answer
    x = 1,191.25

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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.