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Finding the Fourth Proportional to 823.87, 1,235.81 and 303.99

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Solution

The fourth proportional to 823.87, 1,235.81 and 303.99 is: 455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.87 : 1,235.81 = 303.99 : x
  2. Step 2: Convert to fraction form
    823.87/1,235.81 = 303.99/x
  3. Step 3: Cross multiply
    823.87x = 1,235.81 × 303.99
  4. Step 4: Simplify right side
    823.87x = 375,668.30
  5. Step 5: Solve for x
    x = 375,668.30/823.87
  6. Step 6: Final answer
    x = 455.98

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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.