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Finding the Fourth Proportional to 1,238.16, 1,707.78 and 796.62

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Solution

The fourth proportional to 1,238.16, 1,707.78 and 796.62 is: 1,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.16 : 1,707.78 = 796.62 : x
  2. Step 2: Convert to fraction form
    1,238.16/1,707.78 = 796.62/x
  3. Step 3: Cross multiply
    1,238.16x = 1,707.78 × 796.62
  4. Step 4: Simplify right side
    1,238.16x = 1,360,451.70
  5. Step 5: Solve for x
    x = 1,360,451.70/1,238.16
  6. Step 6: Final answer
    x = 1,098.77

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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.