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Finding the Fourth Proportional to 1,179.57, 1,627.85 and 682.23

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Solution

The fourth proportional to 1,179.57, 1,627.85 and 682.23 is: 941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.57 : 1,627.85 = 682.23 : x
  2. Step 2: Convert to fraction form
    1,179.57/1,627.85 = 682.23/x
  3. Step 3: Cross multiply
    1,179.57x = 1,627.85 × 682.23
  4. Step 4: Simplify right side
    1,179.57x = 1,110,569.81
  5. Step 5: Solve for x
    x = 1,110,569.81/1,179.57
  6. Step 6: Final answer
    x = 941.50

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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.