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Finding the Fourth Proportional to 771.40, 1,064.54 and 439.83

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Solution

The fourth proportional to 771.40, 1,064.54 and 439.83 is: 606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.40 : 1,064.54 = 439.83 : x
  2. Step 2: Convert to fraction form
    771.40/1,064.54 = 439.83/x
  3. Step 3: Cross multiply
    771.40x = 1,064.54 × 439.83
  4. Step 4: Simplify right side
    771.40x = 468,217.73
  5. Step 5: Solve for x
    x = 468,217.73/771.40
  6. Step 6: Final answer
    x = 606.97

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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.