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Finding the Fourth Proportional to 1,174.14, 1,761.21 and 807.82

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Solution

The fourth proportional to 1,174.14, 1,761.21 and 807.82 is: 1,211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.14 : 1,761.21 = 807.82 : x
  2. Step 2: Convert to fraction form
    1,174.14/1,761.21 = 807.82/x
  3. Step 3: Cross multiply
    1,174.14x = 1,761.21 × 807.82
  4. Step 4: Simplify right side
    1,174.14x = 1,422,740.66
  5. Step 5: Solve for x
    x = 1,422,740.66/1,174.14
  6. Step 6: Final answer
    x = 1,211.73

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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.