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Finding the Fourth Proportional to 1,241.78, 1,712.70 and 799.73

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Solution

The fourth proportional to 1,241.78, 1,712.70 and 799.73 is: 1,103.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.78 : 1,712.70 = 799.73 : x
  2. Step 2: Convert to fraction form
    1,241.78/1,712.70 = 799.73/x
  3. Step 3: Cross multiply
    1,241.78x = 1,712.70 × 799.73
  4. Step 4: Simplify right side
    1,241.78x = 1,369,697.57
  5. Step 5: Solve for x
    x = 1,369,697.57/1,241.78
  6. Step 6: Final answer
    x = 1,103.01

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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.