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Finding the Fourth Proportional to 1,293.58, 1,785.14 and 796.09

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Solution

The fourth proportional to 1,293.58, 1,785.14 and 796.09 is: 1,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.58 : 1,785.14 = 796.09 : x
  2. Step 2: Convert to fraction form
    1,293.58/1,785.14 = 796.09/x
  3. Step 3: Cross multiply
    1,293.58x = 1,785.14 × 796.09
  4. Step 4: Simplify right side
    1,293.58x = 1,421,132.50
  5. Step 5: Solve for x
    x = 1,421,132.50/1,293.58
  6. Step 6: Final answer
    x = 1,098.61

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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.