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Finding the Fourth Proportional to 1,096.88, 1,513.26 and 724.05

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Solution

The fourth proportional to 1,096.88, 1,513.26 and 724.05 is: 998.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.88 : 1,513.26 = 724.05 : x
  2. Step 2: Convert to fraction form
    1,096.88/1,513.26 = 724.05/x
  3. Step 3: Cross multiply
    1,096.88x = 1,513.26 × 724.05
  4. Step 4: Simplify right side
    1,096.88x = 1,095,675.90
  5. Step 5: Solve for x
    x = 1,095,675.90/1,096.88
  6. Step 6: Final answer
    x = 998.90

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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.