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Finding the Fourth Proportional to 1,247.36, 1,721.09 and 849.30

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Solution

The fourth proportional to 1,247.36, 1,721.09 and 849.30 is: 1,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.36 : 1,721.09 = 849.30 : x
  2. Step 2: Convert to fraction form
    1,247.36/1,721.09 = 849.30/x
  3. Step 3: Cross multiply
    1,247.36x = 1,721.09 × 849.30
  4. Step 4: Simplify right side
    1,247.36x = 1,461,717.49
  5. Step 5: Solve for x
    x = 1,461,717.49/1,247.36
  6. Step 6: Final answer
    x = 1,171.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.