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Finding the Fourth Proportional to 771.27, 1,064.34 and 439.70

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Solution

The fourth proportional to 771.27, 1,064.34 and 439.70 is: 606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.27 : 1,064.34 = 439.70 : x
  2. Step 2: Convert to fraction form
    771.27/1,064.34 = 439.70/x
  3. Step 3: Cross multiply
    771.27x = 1,064.34 × 439.70
  4. Step 4: Simplify right side
    771.27x = 467,984.98
  5. Step 5: Solve for x
    x = 467,984.98/771.27
  6. Step 6: Final answer
    x = 606.77

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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.