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Finding the Fourth Proportional to 1,180.17, 1,768.20 and 716.97

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Solution

The fourth proportional to 1,180.17, 1,768.20 and 716.97 is: 1,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.17 : 1,768.20 = 716.97 : x
  2. Step 2: Convert to fraction form
    1,180.17/1,768.20 = 716.97/x
  3. Step 3: Cross multiply
    1,180.17x = 1,768.20 × 716.97
  4. Step 4: Simplify right side
    1,180.17x = 1,267,746.35
  5. Step 5: Solve for x
    x = 1,267,746.35/1,180.17
  6. Step 6: Final answer
    x = 1,074.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.