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Finding the Fourth Proportional to 1,096.93, 1,513.65 and 724.33

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Solution

The fourth proportional to 1,096.93, 1,513.65 and 724.33 is: 999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.93 : 1,513.65 = 724.33 : x
  2. Step 2: Convert to fraction form
    1,096.93/1,513.65 = 724.33/x
  3. Step 3: Cross multiply
    1,096.93x = 1,513.65 × 724.33
  4. Step 4: Simplify right side
    1,096.93x = 1,096,382.10
  5. Step 5: Solve for x
    x = 1,096,382.10/1,096.93
  6. Step 6: Final answer
    x = 999.50

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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.