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Finding the Fourth Proportional to 1,097.22, 1,513.71 and 724.62

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Solution

The fourth proportional to 1,097.22, 1,513.71 and 724.62 is: 999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.22 : 1,513.71 = 724.62 : x
  2. Step 2: Convert to fraction form
    1,097.22/1,513.71 = 724.62/x
  3. Step 3: Cross multiply
    1,097.22x = 1,513.71 × 724.62
  4. Step 4: Simplify right side
    1,097.22x = 1,096,864.54
  5. Step 5: Solve for x
    x = 1,096,864.54/1,097.22
  6. Step 6: Final answer
    x = 999.68

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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.