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Finding the Fourth Proportional to 1,233.39, 1,849.54 and 452.87

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Solution

The fourth proportional to 1,233.39, 1,849.54 and 452.87 is: 679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.39 : 1,849.54 = 452.87 : x
  2. Step 2: Convert to fraction form
    1,233.39/1,849.54 = 452.87/x
  3. Step 3: Cross multiply
    1,233.39x = 1,849.54 × 452.87
  4. Step 4: Simplify right side
    1,233.39x = 837,601.18
  5. Step 5: Solve for x
    x = 837,601.18/1,233.39
  6. Step 6: Final answer
    x = 679.10

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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.