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Finding the Fourth Proportional to 1,232.67, 1,849.34 and 539.40

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Solution

The fourth proportional to 1,232.67, 1,849.34 and 539.40 is: 809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.67 : 1,849.34 = 539.40 : x
  2. Step 2: Convert to fraction form
    1,232.67/1,849.34 = 539.40/x
  3. Step 3: Cross multiply
    1,232.67x = 1,849.34 × 539.40
  4. Step 4: Simplify right side
    1,232.67x = 997,534.00
  5. Step 5: Solve for x
    x = 997,534.00/1,232.67
  6. Step 6: Final answer
    x = 809.25

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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.