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Finding the Fourth Proportional to 771.06, 1,064.04 and 439.44

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Solution

The fourth proportional to 771.06, 1,064.04 and 439.44 is: 606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.06 : 1,064.04 = 439.44 : x
  2. Step 2: Convert to fraction form
    771.06/1,064.04 = 439.44/x
  3. Step 3: Cross multiply
    771.06x = 1,064.04 × 439.44
  4. Step 4: Simplify right side
    771.06x = 467,581.74
  5. Step 5: Solve for x
    x = 467,581.74/771.06
  6. Step 6: Final answer
    x = 606.41

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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.