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Finding the Fourth Proportional to 1,232.78, 1,849.57 and 574.97

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Solution

The fourth proportional to 1,232.78, 1,849.57 and 574.97 is: 862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.78 : 1,849.57 = 574.97 : x
  2. Step 2: Convert to fraction form
    1,232.78/1,849.57 = 574.97/x
  3. Step 3: Cross multiply
    1,232.78x = 1,849.57 × 574.97
  4. Step 4: Simplify right side
    1,232.78x = 1,063,436.58
  5. Step 5: Solve for x
    x = 1,063,436.58/1,232.78
  6. Step 6: Final answer
    x = 862.64

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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.