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Finding the Fourth Proportional to 1,247.30, 1,721.34 and 749.96

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Solution

The fourth proportional to 1,247.30, 1,721.34 and 749.96 is: 1,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.30 : 1,721.34 = 749.96 : x
  2. Step 2: Convert to fraction form
    1,247.30/1,721.34 = 749.96/x
  3. Step 3: Cross multiply
    1,247.30x = 1,721.34 × 749.96
  4. Step 4: Simplify right side
    1,247.30x = 1,290,936.15
  5. Step 5: Solve for x
    x = 1,290,936.15/1,247.30
  6. Step 6: Final answer
    x = 1,034.98

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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.