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Finding the Fourth Proportional to 771.36, 1,064.43 and 439.77

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Solution

The fourth proportional to 771.36, 1,064.43 and 439.77 is: 606.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.36 : 1,064.43 = 439.77 : x
  2. Step 2: Convert to fraction form
    771.36/1,064.43 = 439.77/x
  3. Step 3: Cross multiply
    771.36x = 1,064.43 × 439.77
  4. Step 4: Simplify right side
    771.36x = 468,104.38
  5. Step 5: Solve for x
    x = 468,104.38/771.36
  6. Step 6: Final answer
    x = 606.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.