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Finding the Fourth Proportional to 804.77, 1,205.78 and 439.82

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Solution

The fourth proportional to 804.77, 1,205.78 and 439.82 is: 658.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.77 : 1,205.78 = 439.82 : x
  2. Step 2: Convert to fraction form
    804.77/1,205.78 = 439.82/x
  3. Step 3: Cross multiply
    804.77x = 1,205.78 × 439.82
  4. Step 4: Simplify right side
    804.77x = 530,317.93
  5. Step 5: Solve for x
    x = 530,317.93/804.77
  6. Step 6: Final answer
    x = 658.97

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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.