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Finding the Fourth Proportional to 1,386.24, 1,912.48 and 796.48

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Solution

The fourth proportional to 1,386.24, 1,912.48 and 796.48 is: 1,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.24 : 1,912.48 = 796.48 : x
  2. Step 2: Convert to fraction form
    1,386.24/1,912.48 = 796.48/x
  3. Step 3: Cross multiply
    1,386.24x = 1,912.48 × 796.48
  4. Step 4: Simplify right side
    1,386.24x = 1,523,252.07
  5. Step 5: Solve for x
    x = 1,523,252.07/1,386.24
  6. Step 6: Final answer
    x = 1,098.84

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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.