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Finding the Fourth Proportional to 1,232.65, 1,849.43 and 574.90

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Solution

The fourth proportional to 1,232.65, 1,849.43 and 574.90 is: 862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.65 : 1,849.43 = 574.90 : x
  2. Step 2: Convert to fraction form
    1,232.65/1,849.43 = 574.90/x
  3. Step 3: Cross multiply
    1,232.65x = 1,849.43 × 574.90
  4. Step 4: Simplify right side
    1,232.65x = 1,063,234.12
  5. Step 5: Solve for x
    x = 1,063,234.12/1,232.65
  6. Step 6: Final answer
    x = 862.56

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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.