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Finding the Fourth Proportional to 1,238.73, 1,710.60 and 797.39

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Solution

The fourth proportional to 1,238.73, 1,710.60 and 797.39 is: 1,101.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.73 : 1,710.60 = 797.39 : x
  2. Step 2: Convert to fraction form
    1,238.73/1,710.60 = 797.39/x
  3. Step 3: Cross multiply
    1,238.73x = 1,710.60 × 797.39
  4. Step 4: Simplify right side
    1,238.73x = 1,364,016.62
  5. Step 5: Solve for x
    x = 1,364,016.62/1,238.73
  6. Step 6: Final answer
    x = 1,101.14

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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.