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Finding the Fourth Proportional to 1,179.14, 1,627.32 and 883.88

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Solution

The fourth proportional to 1,179.14, 1,627.32 and 883.88 is: 1,219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.14 : 1,627.32 = 883.88 : x
  2. Step 2: Convert to fraction form
    1,179.14/1,627.32 = 883.88/x
  3. Step 3: Cross multiply
    1,179.14x = 1,627.32 × 883.88
  4. Step 4: Simplify right side
    1,179.14x = 1,438,355.60
  5. Step 5: Solve for x
    x = 1,438,355.60/1,179.14
  6. Step 6: Final answer
    x = 1,219.83

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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.