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Finding the Fourth Proportional to 1,174.16, 1,761.43 and 443.80

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Solution

The fourth proportional to 1,174.16, 1,761.43 and 443.80 is: 665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.16 : 1,761.43 = 443.80 : x
  2. Step 2: Convert to fraction form
    1,174.16/1,761.43 = 443.80/x
  3. Step 3: Cross multiply
    1,174.16x = 1,761.43 × 443.80
  4. Step 4: Simplify right side
    1,174.16x = 781,722.63
  5. Step 5: Solve for x
    x = 781,722.63/1,174.16
  6. Step 6: Final answer
    x = 665.77

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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.