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Finding the Fourth Proportional to 1,096.99, 1,513.48 and 724.15

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Solution

The fourth proportional to 1,096.99, 1,513.48 and 724.15 is: 999.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.99 : 1,513.48 = 724.15 : x
  2. Step 2: Convert to fraction form
    1,096.99/1,513.48 = 724.15/x
  3. Step 3: Cross multiply
    1,096.99x = 1,513.48 × 724.15
  4. Step 4: Simplify right side
    1,096.99x = 1,095,986.54
  5. Step 5: Solve for x
    x = 1,095,986.54/1,096.99
  6. Step 6: Final answer
    x = 999.09

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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.