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Finding the Fourth Proportional to 1,180.72, 1,629.01 and 683.17

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Solution

The fourth proportional to 1,180.72, 1,629.01 and 683.17 is: 942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.72 : 1,629.01 = 683.17 : x
  2. Step 2: Convert to fraction form
    1,180.72/1,629.01 = 683.17/x
  3. Step 3: Cross multiply
    1,180.72x = 1,629.01 × 683.17
  4. Step 4: Simplify right side
    1,180.72x = 1,112,890.76
  5. Step 5: Solve for x
    x = 1,112,890.76/1,180.72
  6. Step 6: Final answer
    x = 942.55

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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.