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Finding the Fourth Proportional to 1,244.82, 1,717.77 and 713.64

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Solution

The fourth proportional to 1,244.82, 1,717.77 and 713.64 is: 984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.82 : 1,717.77 = 713.64 : x
  2. Step 2: Convert to fraction form
    1,244.82/1,717.77 = 713.64/x
  3. Step 3: Cross multiply
    1,244.82x = 1,717.77 × 713.64
  4. Step 4: Simplify right side
    1,244.82x = 1,225,869.38
  5. Step 5: Solve for x
    x = 1,225,869.38/1,244.82
  6. Step 6: Final answer
    x = 984.78

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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.