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Finding the Fourth Proportional to 1,180.14, 1,629.01 and 683.00

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Solution

The fourth proportional to 1,180.14, 1,629.01 and 683.00 is: 942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.14 : 1,629.01 = 683.00 : x
  2. Step 2: Convert to fraction form
    1,180.14/1,629.01 = 683.00/x
  3. Step 3: Cross multiply
    1,180.14x = 1,629.01 × 683.00
  4. Step 4: Simplify right side
    1,180.14x = 1,112,612.65
  5. Step 5: Solve for x
    x = 1,112,612.65/1,180.14
  6. Step 6: Final answer
    x = 942.78

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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.