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Finding the Fourth Proportional to 1,179.30, 1,627.50 and 982.47

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Solution

The fourth proportional to 1,179.30, 1,627.50 and 982.47 is: 1,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.30 : 1,627.50 = 982.47 : x
  2. Step 2: Convert to fraction form
    1,179.30/1,627.50 = 982.47/x
  3. Step 3: Cross multiply
    1,179.30x = 1,627.50 × 982.47
  4. Step 4: Simplify right side
    1,179.30x = 1,598,969.93
  5. Step 5: Solve for x
    x = 1,598,969.93/1,179.30
  6. Step 6: Final answer
    x = 1,355.86

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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.