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Finding the Fourth Proportional to 1,232.45, 1,849.37 and 655.31

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Solution

The fourth proportional to 1,232.45, 1,849.37 and 655.31 is: 983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.45 : 1,849.37 = 655.31 : x
  2. Step 2: Convert to fraction form
    1,232.45/1,849.37 = 655.31/x
  3. Step 3: Cross multiply
    1,232.45x = 1,849.37 × 655.31
  4. Step 4: Simplify right side
    1,232.45x = 1,211,898.13
  5. Step 5: Solve for x
    x = 1,211,898.13/1,232.45
  6. Step 6: Final answer
    x = 983.33

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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.