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Finding the Fourth Proportional to 1,125.36, 1,689.23 and 996.17

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Solution

The fourth proportional to 1,125.36, 1,689.23 and 996.17 is: 1,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.36 : 1,689.23 = 996.17 : x
  2. Step 2: Convert to fraction form
    1,125.36/1,689.23 = 996.17/x
  3. Step 3: Cross multiply
    1,125.36x = 1,689.23 × 996.17
  4. Step 4: Simplify right side
    1,125.36x = 1,682,754.29
  5. Step 5: Solve for x
    x = 1,682,754.29/1,125.36
  6. Step 6: Final answer
    x = 1,495.30

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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.