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Finding the Fourth Proportional to 1,233.99, 1,850.91 and 309.53

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Solution

The fourth proportional to 1,233.99, 1,850.91 and 309.53 is: 464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.99 : 1,850.91 = 309.53 : x
  2. Step 2: Convert to fraction form
    1,233.99/1,850.91 = 309.53/x
  3. Step 3: Cross multiply
    1,233.99x = 1,850.91 × 309.53
  4. Step 4: Simplify right side
    1,233.99x = 572,902.92
  5. Step 5: Solve for x
    x = 572,902.92/1,233.99
  6. Step 6: Final answer
    x = 464.27

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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.