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Finding the Fourth Proportional to 1,232.40, 1,699.56 and 918.44

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Solution

The fourth proportional to 1,232.40, 1,699.56 and 918.44 is: 1,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.40 : 1,699.56 = 918.44 : x
  2. Step 2: Convert to fraction form
    1,232.40/1,699.56 = 918.44/x
  3. Step 3: Cross multiply
    1,232.40x = 1,699.56 × 918.44
  4. Step 4: Simplify right side
    1,232.40x = 1,560,943.89
  5. Step 5: Solve for x
    x = 1,560,943.89/1,232.40
  6. Step 6: Final answer
    x = 1,266.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.