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Finding the Fourth Proportional to 1,174.34, 1,761.81 and 352.61

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Solution

The fourth proportional to 1,174.34, 1,761.81 and 352.61 is: 529.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.34 : 1,761.81 = 352.61 : x
  2. Step 2: Convert to fraction form
    1,174.34/1,761.81 = 352.61/x
  3. Step 3: Cross multiply
    1,174.34x = 1,761.81 × 352.61
  4. Step 4: Simplify right side
    1,174.34x = 621,231.82
  5. Step 5: Solve for x
    x = 621,231.82/1,174.34
  6. Step 6: Final answer
    x = 529.01

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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.