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Finding the Fourth Proportional to 1,174.56, 1,761.26 and 444.18

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Solution

The fourth proportional to 1,174.56, 1,761.26 and 444.18 is: 666.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.56 : 1,761.26 = 444.18 : x
  2. Step 2: Convert to fraction form
    1,174.56/1,761.26 = 444.18/x
  3. Step 3: Cross multiply
    1,174.56x = 1,761.26 × 444.18
  4. Step 4: Simplify right side
    1,174.56x = 782,320.85
  5. Step 5: Solve for x
    x = 782,320.85/1,174.56
  6. Step 6: Final answer
    x = 666.06

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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.