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Finding the Fourth Proportional to 1,174.23, 1,761.14 and 443.57

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Solution

The fourth proportional to 1,174.23, 1,761.14 and 443.57 is: 665.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.23 : 1,761.14 = 443.57 : x
  2. Step 2: Convert to fraction form
    1,174.23/1,761.14 = 443.57/x
  3. Step 3: Cross multiply
    1,174.23x = 1,761.14 × 443.57
  4. Step 4: Simplify right side
    1,174.23x = 781,182.25
  5. Step 5: Solve for x
    x = 781,182.25/1,174.23
  6. Step 6: Final answer
    x = 665.27

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Why These Related Problems?

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