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Finding the Fourth Proportional to 822.80, 1,235.64 and 438.80

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Solution

The fourth proportional to 822.80, 1,235.64 and 438.80 is: 658.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.80 : 1,235.64 = 438.80 : x
  2. Step 2: Convert to fraction form
    822.80/1,235.64 = 438.80/x
  3. Step 3: Cross multiply
    822.80x = 1,235.64 × 438.80
  4. Step 4: Simplify right side
    822.80x = 542,198.83
  5. Step 5: Solve for x
    x = 542,198.83/822.80
  6. Step 6: Final answer
    x = 658.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.