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Finding the Fourth Proportional to 1,174.77, 1,760.94 and 444.03

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Solution

The fourth proportional to 1,174.77, 1,760.94 and 444.03 is: 665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.77 : 1,760.94 = 444.03 : x
  2. Step 2: Convert to fraction form
    1,174.77/1,760.94 = 444.03/x
  3. Step 3: Cross multiply
    1,174.77x = 1,760.94 × 444.03
  4. Step 4: Simplify right side
    1,174.77x = 781,910.19
  5. Step 5: Solve for x
    x = 781,910.19/1,174.77
  6. Step 6: Final answer
    x = 665.59

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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.