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Finding the Fourth Proportional to 1,174.48, 1,761.84 and 481.12

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Solution

The fourth proportional to 1,174.48, 1,761.84 and 481.12 is: 721.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.48 : 1,761.84 = 481.12 : x
  2. Step 2: Convert to fraction form
    1,174.48/1,761.84 = 481.12/x
  3. Step 3: Cross multiply
    1,174.48x = 1,761.84 × 481.12
  4. Step 4: Simplify right side
    1,174.48x = 847,656.46
  5. Step 5: Solve for x
    x = 847,656.46/1,174.48
  6. Step 6: Final answer
    x = 721.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.