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Finding the Fourth Proportional to 1,179.86, 1,627.96 and 682.31

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Solution

The fourth proportional to 1,179.86, 1,627.96 and 682.31 is: 941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.86 : 1,627.96 = 682.31 : x
  2. Step 2: Convert to fraction form
    1,179.86/1,627.96 = 682.31/x
  3. Step 3: Cross multiply
    1,179.86x = 1,627.96 × 682.31
  4. Step 4: Simplify right side
    1,179.86x = 1,110,775.75
  5. Step 5: Solve for x
    x = 1,110,775.75/1,179.86
  6. Step 6: Final answer
    x = 941.45

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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.