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Finding the Fourth Proportional to 1,386.32, 1,912.88 and 796.64

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Solution

The fourth proportional to 1,386.32, 1,912.88 and 796.64 is: 1,099.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.32 : 1,912.88 = 796.64 : x
  2. Step 2: Convert to fraction form
    1,386.32/1,912.88 = 796.64/x
  3. Step 3: Cross multiply
    1,386.32x = 1,912.88 × 796.64
  4. Step 4: Simplify right side
    1,386.32x = 1,523,876.72
  5. Step 5: Solve for x
    x = 1,523,876.72/1,386.32
  6. Step 6: Final answer
    x = 1,099.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.