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Finding the Fourth Proportional to 1,447.73, 2,171.82 and 717.35

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Solution

The fourth proportional to 1,447.73, 2,171.82 and 717.35 is: 1,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.73 : 2,171.82 = 717.35 : x
  2. Step 2: Convert to fraction form
    1,447.73/2,171.82 = 717.35/x
  3. Step 3: Cross multiply
    1,447.73x = 2,171.82 × 717.35
  4. Step 4: Simplify right side
    1,447.73x = 1,557,955.08
  5. Step 5: Solve for x
    x = 1,557,955.08/1,447.73
  6. Step 6: Final answer
    x = 1,076.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.