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Finding the Fourth Proportional to 1,233.00, 1,849.48 and 308.55

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Solution

The fourth proportional to 1,233.00, 1,849.48 and 308.55 is: 462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.00 : 1,849.48 = 308.55 : x
  2. Step 2: Convert to fraction form
    1,233.00/1,849.48 = 308.55/x
  3. Step 3: Cross multiply
    1,233.00x = 1,849.48 × 308.55
  4. Step 4: Simplify right side
    1,233.00x = 570,661.70
  5. Step 5: Solve for x
    x = 570,661.70/1,233.00
  6. Step 6: Final answer
    x = 462.82

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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.