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Finding the Fourth Proportional to 1,233.23, 1,849.89 and 453.47

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Solution

The fourth proportional to 1,233.23, 1,849.89 and 453.47 is: 680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.23 : 1,849.89 = 453.47 : x
  2. Step 2: Convert to fraction form
    1,233.23/1,849.89 = 453.47/x
  3. Step 3: Cross multiply
    1,233.23x = 1,849.89 × 453.47
  4. Step 4: Simplify right side
    1,233.23x = 838,860.37
  5. Step 5: Solve for x
    x = 838,860.37/1,233.23
  6. Step 6: Final answer
    x = 680.21

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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.