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Finding the Fourth Proportional to 1,279.31, 1,765.41 and 719.81

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Solution

The fourth proportional to 1,279.31, 1,765.41 and 719.81 is: 993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.31 : 1,765.41 = 719.81 : x
  2. Step 2: Convert to fraction form
    1,279.31/1,765.41 = 719.81/x
  3. Step 3: Cross multiply
    1,279.31x = 1,765.41 × 719.81
  4. Step 4: Simplify right side
    1,279.31x = 1,270,750.95
  5. Step 5: Solve for x
    x = 1,270,750.95/1,279.31
  6. Step 6: Final answer
    x = 993.31

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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.