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Finding the Fourth Proportional to 1,241.48, 1,713.57 and 799.22

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Solution

The fourth proportional to 1,241.48, 1,713.57 and 799.22 is: 1,103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.48 : 1,713.57 = 799.22 : x
  2. Step 2: Convert to fraction form
    1,241.48/1,713.57 = 799.22/x
  3. Step 3: Cross multiply
    1,241.48x = 1,713.57 × 799.22
  4. Step 4: Simplify right side
    1,241.48x = 1,369,510.85
  5. Step 5: Solve for x
    x = 1,369,510.85/1,241.48
  6. Step 6: Final answer
    x = 1,103.13

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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.