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Finding the Fourth Proportional to 1,192.03, 1,644.48 and 719.79

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Solution

The fourth proportional to 1,192.03, 1,644.48 and 719.79 is: 992.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.03 : 1,644.48 = 719.79 : x
  2. Step 2: Convert to fraction form
    1,192.03/1,644.48 = 719.79/x
  3. Step 3: Cross multiply
    1,192.03x = 1,644.48 × 719.79
  4. Step 4: Simplify right side
    1,192.03x = 1,183,676.66
  5. Step 5: Solve for x
    x = 1,183,676.66/1,192.03
  6. Step 6: Final answer
    x = 992.99

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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.