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Finding the Fourth Proportional to 1,293.87, 1,785.45 and 796.53

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Solution

The fourth proportional to 1,293.87, 1,785.45 and 796.53 is: 1,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.87 : 1,785.45 = 796.53 : x
  2. Step 2: Convert to fraction form
    1,293.87/1,785.45 = 796.53/x
  3. Step 3: Cross multiply
    1,293.87x = 1,785.45 × 796.53
  4. Step 4: Simplify right side
    1,293.87x = 1,422,164.49
  5. Step 5: Solve for x
    x = 1,422,164.49/1,293.87
  6. Step 6: Final answer
    x = 1,099.16

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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.